Question

Type the correct answer in the box. Use numerals instead of words.


In the figure, angle D measures 127° and angle A measures 75°.

Complete the equation to solve for b, the measurement of angle B.
b = 180° – 75° – (
° – 127°)

Answer 1

Given,

Angle D = 127°

Angle A = 75°

To find,

The complete equation: b = 180° – 75° – ( ° - 127°)

Solution,

The complete equation will be B = 180°-75°-(180°-127°).

We can easily solve this problem by following the given steps.

We know that in a triangle the exterior angle of a triangle is equal to the sum of its opposite angles.

So,

Angle D = Angle A + Angle B

And we know that the angle made on a straight line is equal to 180°.

Angle C = 180° - angle D

Angle C = (180-127)°

Angle C = 53°

In a triangle, the sum of three angles is 180°.

Angle (A+B+C) = 180°

Angle B = 180° - Angle A - Angle C

Angle B = 180°-75°-(180-127)°

Angle B = 180°-75°-53°

Angle B = 180°-128°

Angle B = 52°

Hence, the complete equation is angle B = 180°-75°-(180°-127°).

Answer 2

Answer:

180 is the correct answer

Step-by-step explanation: