Question

In the figure, angle D measures 31⁰ and angle A measures 27⁰

1.The measurement of angle B is
A.59⁰
B.63⁰
C.90⁰
2. The measurement of angle F is
A.59⁰
B.63⁰
C.90⁰
​

Answer 1

1)B:63°

2)A:59°

Explanation:

1.ABC is a right triangle at C then angle ACB=90°(right angle)

Angle CAB=27°(see the given)

measure of the angles in any triangle is 180°

then angle CBA=

measure of all the angles - (measure ACB+measure CAB)

=180°-(90°+27°)

=63°

2. Same explanation of angle B:

in the right triangle DEF: angle DEF=90°

angle D=31°(given)

Then measure of angle A=180°-(angle E + angle D)

=180-(90+31)=59°