Question

In the given figure, the measure of z is 10° less than twice the measure of y. If the difference of z and y is 20°, then the measure of (t + x) is equal to (z > y)

Answer 1

90 aapka=9×10 =20nwjsjsb

Answer 2

Given :

The measure of z is 10° less than twice the measure of y

The difference between z and y is 20°

To find:

The measure of (t+x)

Calculation :

=> z = 2y - 10    ...(1)

=>  z - y = 20     ...(2)

From equations (1) and (2)

=> z - y = 20

=> 2y - 10 - y = 20

=> 3y - 10 = 20

=> y = 30°

=> z- y = 20°

=> z = 50°

Let the third angle in the triangle be c. We know that

Sum of angle in a triangle = 180°

=> c+z+y = 180°

=> c = 100°

From the figure it is clear that

=> c + 4x + 5t + c = 360°

=> 4x + 5t = 160°        

=> 8x = 160°  or 10t = 160°            [4x an d5t are vertically opposite angles]

=> x = 20°  or  t = 16°

The sum of the angles x and t is

=> x+t = 20° + 16°

=> x+t = 36°

The measure of (t+x) is 36°