Question

In the figure, angle D measures 71º and angle G measures 37º. What is the measurement of angle A?

A)30º
B)34º
C)53º
D)56º

Answer 1

check the picture below.

recall that the sum of all interior angles in a triangle is 180°, and that a flat-line like the line C, D and E are sitting on, is always 180°.

Answer 2

The measurement of angle A would be B) 34°. The triangles of ∆ABC and ∆EFG are right triangles, each whose sum of their angles would equal 180°. The combined angles of C, D, and E are supplementary angles, meaning their sum is also 180°. Finding angle A would begin by adding angles G and F, then subtracting their sum by 180. The resulting number will be the degree of angle E. Since the angles C, D, and E equal 180°, the degree of angle C is found by adding angles D and E and subtracting that number by 180. The last step to find angle A is to add angles B and C together and subtract the total by 180. The result would be angle A = 34°.