Question

What's the missing angles i said 167 and 16 and 56

Answer 1

From the figure, let's find the missing measures.

• m∠e

Angle e is vertically opposite to the measure 66°

Applying the vertical angles theorem, both angles are congruent.

Thus, we have:

e = 66°

• m∠f:

To find the measure of angle f, apply the angles on a straight line theorem.

Angles on a straight line are supplementary ans supplementary angles sum up to 180 degrees.

Angle F and angle e are on a straight line.

Thus, we have:

m∠e + m∠f = 180

m∠f = 180 - m∠e

m∠f = 180 - 66

f = 114°

• m∠d

Angle d is a right angle. Thus, the measure of angle d is 90 degrees.

d = 90°

ANSWER:

• d = 90,°

,

• e = 66,°

,

• f = 114°