Q. 54.9( 24 Votes )

In the adjacent triangle ABC, find the value of x and calculate the measure of all the angles of the triangle.


Answer :

Given:

A = x + 15, B = x - 15, C = x + 30



As we know, using theorem (1), in any triangle, sum of the three interior angles is 180°.


So,


A + B + C = 180°


x +15 + x – 15 + x + 30 = 180°


3x + 30° = 180°


3x = 180° - 30°


3x = 150°


x = 50°


So, the angles are,


A = x + 15 = 50° + 15° = 65°


B = x - 15 = 50° - 15° = 35°


C = x + 30 = 50° + 30° = 80°


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In a triangle ABC, B = 70°. Find A + C.

Karnataka Board - Mathematics Part I