Given quadrilaterals ABCD ∼ EFGH, with m∠A=47°, m∠B=39°, and m∠C=112°. Find m∠F and m∠H.

m∠F = 39° m∠H = 162°

Step-by-step explanation:

The two figures are similar, so corresponding angles are congruent. That means angles B and F have the same measure, and angles D and H have the same measure.

We can find the measure of angle D since we know the sum of angles in a quadrilateral is 360°:

47° + 39° + 112° + ∠D = 360°

∠D = 360° - 198° = 162°

The requested angle measures are ...

m∠F = 39°

m∠H = 162°