Question

If m ∠ A D B = ( 6 x − 4 ) ° and m ∠ B D C = ( 4 x + 24 ) ° , find the value of x such that ∠ A D C is a right angle.

Answer 1

The value of x is 7°

Explanation:

<A C D = ∠ A D B ( 6 x − 4 ) ° +∠ B D C ( 4 x +24 )

Now,

<A D B + < B D C = 90 °

( Being sum of complementary angle is 90°)

( 6 x − 4 ) + (4x + 24)= 90°

6x-4+4x+24=90°

6x+4x-4+24=90°

10x+20=90°

10x=90-20

10x=70

x=70/10

x=7