Triangles

Geometry Level 1

Find the measure of the missing angle in degrees.


The answer is 24.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

The sum of the interior angles of a triangle is 18 0 ∘ 180^\circ . Considering △ A B D \triangle ABD , we have

∠ D + 41 + 94 = 180 \angle D + 41 + 94 = 180 ⟹ \implies ∠ D = 180 − 135 = 45 \angle D = 180 - 135 = 45

Considering △ E C D \triangle ECD , we have

∠ E C D = 180 − 111 − 45 = \angle ECD = 180 - 111 - 45= 2 4 ∘ \boxed{24^\circ}

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