Question

Find the measure of angle x in the figure below:
A:35°
B:47°
C:73°
D:78°

Answer 1

Explanation:

`56 + 51 + y = 180 \\ y = 180 - 107 \\ y = 73`

`y + x + 72 = 180 \\ 73 + 72 + x = 180 \\ x = 180 - 145 \\ x = 35`

Hope it helps

Answer 2

A straight angle is an angle equal to 180 degrees

Solve for y

y + 51° + 56° = 180°

y = 180° - 56° - 51°

y = 73°

Total interior angle of a triangle sum ups to 180°

Solve for x

y + x + 72° = 180°

73° + x+ 72° = 180°

x = 180° - 72° - 73°

x = 35°