Question

Find the measure of angle x in the figure below:

A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 56 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 51 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 72 degrees. The interior angle on the left is labeled as x.

35°
47°
73°
78°

Answer 1

@Michele_Laino

Answer 2

we have:
56+y+51=180---> flat angle
x+y+72= 180---> sum of interior angles of a triangle

Answer 3

So c?

Answer 4

solve the first equation for y, what do you get?

Answer 5

hint:
107 + y = 180
y= 180 -107
y=...?

Answer 6

Hmmmm

Answer 7

what is 180-107=...?

Answer 8

A

Answer 9

73 sorry

Answer 10

ok so y= 73
now i substitute y=73 into the second equation, so I can write:
x + 73 + 72 = 180
x + 145 = 180
x= 180 - 145 x=...?

Answer 11

A

Answer 12

35

Answer 13

that's right!