Question

2. A figure is shown.
What is the value of x?
A 111
B. 104
c. 76
D.69

Answer 1

Answer: D. 69

Explanation:

1) the sum of the angles of the triangle is 180°

2) the two angles of the triangles are equal as vertical angles

Hence,

x+35°=55°+49°

x+35°=104°

x+35°-35°=104°-35°

x=69°

Answer 2

The answer is 111. You had to figure out the other angle in the right triangle, then you can find the blank angle on the right. Then add the right blank angle and the 35, then subtract it from 180, you get 111.