Chapter 12, Problem 13MCQ

To determine

To find: the unknown angle measure in the diagram.

Answer to Problem 13MCQ

The unknown angle is ${116}^{\circ }$ measure in the diagram

Explanation of Solution

Given information:

  

Calculation: We know that the value of a straight line is ${180}^{\circ }$ .

Now if we intercept the line then we get two angle. Total value of two angle is ${180}^{\circ }$ .

Given from the diagram ,the given angle is ${64}^{\circ }$ .

Let,

The unknown angle is ${\text{x}}^{\circ }$ .

Therefore,

  $({64}^{\circ }+{\text{x}}^{\circ })={180}^{\circ }$

  ${\text{x}}^{\circ }=({180}^{\circ }-{64}^{\circ })$

  ${\text{x}}^{\circ }={116}^{\circ }$

Hence, the unknown angle is ${116}^{\circ }$ measure in the diagram .