Question

What is the measure of the angle 2CBX?
85
D​

Answer 1

Answer:

Angle B = 85°

Angle A = (2x + 5)°

Assuming a line segment between angle D and angle B.

Than ,

We know that , the sum of the angles on a line is 180°.

So ,

=> 180° - 118° = Angle C

=> Angle C = 180° - 118°

=> Angle C = 62°

Hence , Angle C = 62°

Now , Finding the measure of angle CAD ;-

We know that , Sum of all the angles of a triangle are 180°.

So ,

=> 62° + 85° + (2x + 5)° = 180°

=> 62° + 85° + 2x + 5° = 180°

=> 147° + 2x + 5° = 180°

=> 2x + 5° = 180° - 147°

=> 2x + 5° = 33°

=> 2x = 33° - 5°

=> 2x = 28°

=> x = 28/2 = 14°

Therefore ,

Angle CAD =