Question

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

The measurement of angle B is ___ .
The measurement of angle F is ___ .

Answer 1

IN triangle ACB
angle A +angle B angle C = 180
angle B = 180 - 117 = 63

IN triangle DEF
angle D + angle E + angle F =180
angle F = 180 - 121 = 59

Answer 2

In figure Angle D =31 degree and Angle A =27 degree and Angle C =Angle G =90degree (Linear Pair)
Here, In Triangle ABC, Angle A + Angle B + Angle C =180degree
27degree + Angle B +90degree =180degree
&Angle B =180degree - 107degree =73degree

Here, Angle H = Angle E = 90degree (Linear Pair)
Here, In Triangle DEF, Angle D + Angle E +Angle F =180degree
31degree + 90degree + Angle F = 180degree
&Angle F = 180degree - 121degree = 59degree

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