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Question 12
0/1 pt518
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In a certain triangle, the measure of angle A is twice as big as the measure of angle C and the measure of
angle B is 60 degrees bigger than the measure of angle C. What is the degree measure of angle B?
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Question 13
Find the unknown angle measures.
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1211
0/1 pt519 Details

Answer 1

Angle B is 90 degrees.

Step-by-step explanation:

We are given that angle A is twice as big as angle C and angle B is 60 degrees bigger than angle C.

Let's assume the measure of angle C is x degrees. Then, angle A is 2x degrees and angle B is x + 60 degrees.

The sum of the angles in a triangle is always 180 degrees, so we can write the equation: x + 2x + (x + 60) = 180.

Simplifying the equation, we have: 4x + 60 = 180. Subtracting 60 from both sides gives us 4x = 120.

Dividing both sides by 4, we find that x = 30.

Therefore, angle B is x + 60 = 30 + 60 = 90 degrees.

Learn more about Triangle angles