Question

Find the measure of angle X.11°12°17°61°

Answer 1

Answer:

option B : 12 degree

Step-by-step explanation:

The sum of angles in a triangle = 180 degree

Small box represents 90 degree

From the inner triangle

90 + angle y + 29 = 180 degree

90 + y + 29 = 180

119 + y = 180 (subtract 119 on both sides)

y= 61 degree

 (y+x) is the top angle for bigger triangle

From the outer triangle , 90 + (y+x) + 17 = 180

We know y = 61

90 + (61+x) + 17 = 180

90 + 61 + x 17 = 180

168 +x = 180(subtract 168 on both sides)

x= 12 degrees