Question

Find the values of variables.

y=
x=

Answer 1

x = 40

y = 70

Explanation:

The two base angles of the isosceles triangle are congruent. y° and the external angle 110° form a linear pair.

y° = 180° -110° = 70°

y = 70

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The external angle 110° is equal to the sum of the remote interior angles x° and y°.

110 = x + y

x = 110 -y = 110 -70

x = 40