Question

The sum of two angles of a triangle is 200 and their difference is 200. Find the value of k.





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Answer 1

Answer:

step 1. in larger triangle

third angle = 180⁰-(30⁰+34⁰)

=180⁰-64⁰

= 116⁰

and this angle form linear pair with angle of smaller triangle.

that angle will be = 64⁰

now by property of an exterior angle of a triangle

so, K=64⁰+45⁰

K=109⁰