Question

In the figure, angle D measures 31 degrees and angle A measures 27 degrees.

The measurement of angle B is:
59, 63, or 90
Angle F is:
59, 63, or 90​

Answer 1

B= 63

F= 59

Explanation:

a+ b+ c= 180

27+b+ 90=180

117+b=180

180-117=b

B= 63

D+E+F=180

31+ 90+ F=189

121 +F=180

180-121= F

F= 59

Answer 2

Angle B = 63°

Angle F = 59°

Explanation:

C = 90° (right angle)

A = 27°

3 angles are added to result in 180° (property of triangle)

Therefore B =

180 - (90 + 27) =

180 - 117 =

63°

Angle B = 63° ✅

E = 90° (right angle)

D = 31°

3 angles are added to result in 180° (property of triangle)

Therefore F =

180 - (90 + 31) =

180 - 121 =

59°

Angle F = 59° ✅

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