Chapter 6 Triangle and its Properties Exercise 6.2
Question 1: Find the value of the unknown exterior angle x in the following diagram:
(i)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0YEUdHSlP4OP3w_0jc0sHtXFtft5mUGEpVEBt11ZNA0tEhxqSUCbhh9QMHlhUcug8FKq2gMqZV9RPNpq6pjVoDOxw-_5NhLWJoDMLEedcW6lWavQx-INjhm21p1t16c_-gIXqKtCJTcV9/w400-h207/PICS5.png)
Answer:
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 50° + 70° = x
= 120° = x
Therefore, exterior angle x is equal to 120°.
(ii)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIZ-Qi9OyYiURqQYsgspBXNrX1_vEBugO4ecR_mgfoCf2rnYux7TowdT9r40BKdqU_RHMxzTYYF8LeuUJ9xUmcL9GYE9bGDDgPr96hzgiU_NWpYux1ihA706svUrSRijasV5cfv6alwZ5J/w400-h336/PICS6.png)
Answer:
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 65° + 45° = x
= 110° = x
Therefore, exterior angle x is equal to 110°.
(iii)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9aJC-cSp9QXvbh47sD3NVBH3ByB8YQ_mXTnIYsmqugbtSSFsibBCg8G7WtnEEgIwYvVheCipM_kFN317yrA1nDCaTA35gzDWF3yjmZoKO_-3WsgoM78GmWbZ2VeomCaPGQFj0JsesstNQ/w400-h321/PICS7.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 30° + 40° = x
= 70° = x
Therefore, exterior angle x is equal to 70°.
(iv)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjE2Xnnau9NZ7n9Wqv6UJ__rAs_JJ-QjvugMJ834AW65WtNilZEY-F8eS9ChUxU_scsIwu_KxcIaRzewgMTb2oe_b4AroPGPOGlDZGraDjZUniKTEFYeQdAXaLak1eR_vvUq6qHkQSH10Jz/w400-h244/PICS+8.png)
Answer:
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 60° + 60° = x
= 120° = x
Therefore, exterior angle x is equal to 120°.
(v)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOdKbxnfJ-ribdUSDR6X2uLB5q-yNMK2kNbl5m3dYhthHz7EJDx8QF-Q7k9JJoFa2TpAT835T5Yhex8DUcubprZa7A6ink7wbYe8PX4xc78VkRFBq0r_0rKD11zZ04pWz3iyOONt49MmV4/w375-h400/PICS+9.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 50° + 50° = x
= 100° = x
Therefore, exterior angle x is equal to 100°.
(vi)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMm19ilogG1tXrc_wYLyAdelg9Si9fqEoRvn0l_Lsan5p87f3BzcwL8xaL9VgFSAB7LG5Ekyk5fvsTAfsZcXqgIFM5Nj42LWALwhz0Un20mbEDNtrtj07Blxfjpl8LLyo25AC5gzwRUEg5/w293-h400/PICS+10.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 30° + 60° = x
= 90° = x
Therefore, exterior angle x is equal to 90°.
Question 2: Find the value of the unknown interior angle x in the following figures:
(i)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvM-at3NjLPJF61f0RsdauZPwdIpUNnr82gWH-JEsm6VRrIGPdsEduruKI2tX_4MNG_h4761PYyIjizfSR5GM7iGqsPvye6mE6eAWgDZOOgECyqPeMeqoqnJ-6o2gd01VzY9k9HaLrM9X7/w400-h230/PICS+11.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 50° + x = 115°
= 115° - 50° = 65°
= x = 65°
Therefore, interior angle x is equal to 65°.
(ii)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhT760b6MNJ7PzEO92oCOeNjs46-T8IirVZZSw_5kzl6biqVIhmnC2ESzy1rXsqXH_nr61f-xueYo_sVh5jPFCkekTxuyV02jKU5g-wTel9LZIXANZIEMWkF8aVOqmnl512cbMSUSCHoga1/w400-h373/PICS+12.png)
Answer:
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 70° + x = 100°
= 100° - 70° = 30°
= x = 30°
Therefore, interior angle x is equal to 30°.
(iii)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIUxqDEYFBA8O-ylQ25zTd_6eKcgkW7kdjttczBQdtu8J6qbEGVDjU9Ud2RJ7Uw4Ktd_cTmC129JjFSsSJcW6IXmj6DQHpFs8BeNW9bx7AfZz5PtV3HK5cQjKTJePwvqhvWQnCS1aU94BO/w308-h400/PICS+13.png)
Answer:
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 90° + x = 125°
= 125° - 90° = 35°
= x = 35°
Therefore, interior angle x is equal to 35°.
(iv)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpfopQwV13ZZjkqHq709d4HrbKtZvhQ8rvekEd80c4m7LSH6HDkSQR5UxZdLXMAiZvnNDqhe_T0sTgAulY1oMD4tNxxpSie7TvQhQQ7qTu2cHCg_UoftdJuo_Ye22Rlv4ZneU6C3xMmIRR/w400-h241/PICS+14.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 60° + x = 120°
= 120° - 60° = 60°
= x = 60°
Therefore, interior angle x is equal to 60°.
(v)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9NzieyhrM86LmipTmkYyQOxeel2-K41ntNvy6hzSBhPkmB3bY0PS0wN3aRSfb1uLBLjiqQ-_0a0I56rVaxSziU7_Bu7U0_HMDUbpQKss_3RNqZwOeyiYjacwiO6roV5Ol5DhpEXjBiwXb/w400-h334/PICS+15.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 30° + x = 80°
= 80° - 30° = 50°
= x = 50°
Therefore, interior angle x is equal to 50°.
(vi)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0qMSmvRqCrxy9Mo_07PDz0vOOQhUAqxsR8LUzB-39RPr3P29gRLpJrR4WfKghn_XI6c_DgAWHpJ6YI1WlfQW0RWBdsc3I6SB5yGBPu3UQWTb5U4VelprY5PhyphenhyphenzJvbC9aJIMvwsxmcMLTt/w400-h369/PICS+16.png)
(by using sum of 2 interior opposite angle is equal to the exterior angle)
= 35° + x = 75°
= 75° - 35° = 40°
= x = 40°
Therefore, interior angle x is equal to 40°.
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