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34 degrees

Step-by-step explanation:

34 degrees

the angle is 90 degrees

90-56=34

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Explanation:

Refer to the diagram below. I've added the variable y as the base angles to the isosceles triangle on the left.

Recall that the angles opposite the congruent sides are the base angles. The base angles of any isosceles triangle are the same measure.

Let's solve for y

y+y+56 = 180 .... all angles in a triangle add to 180

2y+56 = 180

2y = 180-56

2y = 124

y = 124/2

y = 62

I've also added the variable z, which is adjacent to one of the y angles.

Since y and z combine to form a straight angle, this means the two angles add to 180

y+z = 180

z = 180-y

z = 180-62

z = 118

Now focus on the isosceles triangle on the right. It has angles x, x, and z = 118.

x+x+z = 180

x+x+118 = 180

2x+118 = 180

2x = 180-118

2x = 62

x = 62/2

x = 31

-81 -56 -27 0 81

step-by-step explanation: