Question

XY bisects Angle AXB. IF Angle YXB = 37.5º| what is the measure of Angle AXB

A) 37.5

B) 740

C)64°

D) 75​

Answer 1

Answer:

because of XY is a bisector of AXB

the angle YXB and YXA becomes equal..

and...

YXB + YXB = AXB so,

37.5 + 37.5 = AXB

74.0 =AXB

Step-by-step explanation:

Answer 2

The measure of Angle AXB is equal to 75°. (Option-D)

Given,

XY bisects Angle AXB.

Angle YXB = 37.5º

To find,

The measure of Angle AXB.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a line segment bisects any angle, then it divided the angle equally into two parts.

{Statement-1}

Now, according to the question;

XY bisects Angle AXB

=> Angle AXY = Angle BXY {according to statement-1}

{Equation-1}

Now, according to the question;

Angle YXB = 37.5º

=> Angle AXY = Angle BXY = 37.5°

{according to equation-1}

Now, the measure of Angle AXB

= measure of Angle AXY + measure of Angle BXY

= 37.5° + 37.5°

= 75°

Hence, the measure of Angle AXB is equal to 75°. (Option-D)