Question

b) In the figure (2) given below, prove that
(i) x + y = 90°
(ii) z = 90°
(iii) AB = BC.​

Answer 1

Given two angles of a triangle are of measures 150°and 30°

Let the required third angle be x

We know that sum of all the angles of a triangle = 180°

105° + 30° + x = 180°

135° + x = 180°

x = 180° – 135°

x = 45°

Answer 2

(i) angle yzx forms a right angle so it's 90 degree so x+y =90 degree

(ii)angle yzc form a right angle so angle z must be 90 degree

(iii)cuz the triangle is isoceles triangle AB=BC