Question

Find angles x and y in each figure​

Answer 1

Answer and Step-by-step explanation:

In the first figure, Angle y is equal to 90 by the vertical angles theorem.

Then, you would do 180 0 90, divided by 2 to find x.

180 - 90 = 90, divided by 2 = 45.

Angle x is equal to 45 in the first figure.

In the second figure, Angle y is equal to 80, since the sides are congruent, meaning the triangle is an isosceles triangle.

So, to find the unknown angle, we add 80 and y together, and subtract it from 180.

180 - (80 + 80) = 180 - 160 = 20

Angle of measurement of 20 is supplementary to angle x.

These add up to 180 when combined.

180 - 20 = x

160 = x.

Angle x is equal to 160 in the second figure.

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Answer 2

for the first triangle:

y=90, vertically opposite angles

x=45, steps: 180-90= 90

                         90/2=45

second triangle:

y=50, isosceles triangle: 2 equal sides.

x=100, 180-50-50=80

                 180-80=100, both angles on the same straight line.