Question

What is the value of x? Enter your answer in the box. x = ° Triangle ABC, measure of angle A is 55 degrees, B is 80 degrees, the measure of angle C is x

Answer 1

The measure of angle C in triangle ABC, denoted as x, is found to be 45 degrees by subtracting the measures of the other two angles (55 degrees and 80 degrees) from the total sum of 180 degrees, which is the sum of all angles in a triangle.

Step-by-step explanation:

The value of x in triangle ABC, where the measure of angle A is 55 degrees and angle B is 80 degrees, can be found by recognizing that the sum of the angles in a triangle is always 180 degrees.

To find x, which is the measure of angle C, we simply subtract the measures of angles A and B from the total sum of 180 degrees.

Calculating x gives us:

• x = 180 - (measure of angle A + measure of angle B)
• x = 180 - (55 + 80)
• x = 180 - 135
• x = 45 degrees

Therefore, the measure of angle C, which is denoted as x, is 45 degrees.