Aarti notices that in her triangular flag, an exterior angle at the bottom-right corner is 135°. The two interior opposite angles are consecutive multiples of 9 (i.e. 9k and 9(k+1)). Find the larger interior opposite angle.

Question

Accepted Answer

72. 9k + 9(k+1) = 135, so 18k + 9 = 135, 18k = 126, k = 7. Larger = 9(k+1) = 9 x 8 = 72°.

Aarti notices that in her triangular flag, an exterior angle at the bottom-right corner is 135°. The two interior opposite angles are consecutive multiples of 9 (i.e. 9k and 9(k+1)). Find the larger interior opposite angle.

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