Find the missing angle.

Geometry Level 1

In the figure shown above, find the measure of ∠ β \angle \beta in degrees.


The answer is 35.

A Former Brilliant Member by A Former Brilliant Member

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2 solutions

B D
Apr 8, 2019

180 degrees is the sum of the three angels of each triangle. 180 - 110 = 70 degrees is the sum of b b and the other angle we don't know. 70 : 2 = 35 70 : 2 = \boxed{35} We divide by 2, because the triangle is isosceles.

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In an isosceles triangle, the angles opposite the equal sides are equal. Thus,

∠ β = 180 − 110 2 = 3 5 ∘ \angle \beta = \dfrac{180-110}{2}=35^\circ

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