Find the measure of the given angles

Hey there!

The answer is 58 degrees

Since ΔABC ~ ΔDEF, then m∠A ~ m∠D, and m∠B ~ m∠E, and m∠C ~ m∠F. This means we can set m∠A equal to m∠D:

x + 29 = 2x

Subtract x from both sides:

29 = x

Now, we plug into the angle expressions to find their measurement:

m∠A = 29 + 29

m∠A = 58

Since they are equal, m∠A and m∠D are both 58 degrees.

Have a terrificly amazing day! :)