Question

In the figure below, angle ABD measures 37 degrees. What is the measure of angle ABC?
A. 64 degrees
B. 74 degrees
C. 47 degrees
D. 37 degrees

Answer 1

Answer:

B. 74 degrees

Step-by-step explanation:

sorry im not good at writing math explantions I hope this drawing helps.

Answer 2

The measure of angle ABC is 74 degrees.

What is the measured angle of ABC?

Given:

• The measure of ABD is 37 degrees.
• The measure of BCD is 90 degrees.
• The measure of DAB is 90 degrees.

Find:

• The measure of ABC.

Solution:

As we know that BAD is forming a triangle that will have 180 degrees if all the angles of the triangles are summed together.

So, ABDA=180 degrees.

Now, ADB=180-(ABD+DAB)=180-(90+37)=180-127=53 degrees.

So, 90+37=127 degrees and 90+53=143 degrees.

Now, we will subtract them to get CBD,

CBD=143-127=37 degrees.

Therefore, ABC= CBD+ABD=37+37=74 degrees.

Hence, the measure of angle ABC is 74 degrees.

Therefore, option (B) is the correct answer.

To learn more about angles, refer to:

https://brainly.com/question/26178129

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