Question

Find the measure of each angle in triangle ABC. Triangle A B C. Angle A is (8 x + 3) degrees, angle B is (7 x) degrees, angle C is (7 x + 1) degrees. 7x + (7x + 1) + (8x + 3) = 180 What is the value of x? x = What is the measure of angle A? m∠A = ° What is the measure of angle B? m∠B = ° What is the measure of angle C? m∠C = °

Answer 1

Explanation:

Answer 2

Answer and explanation:

We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can write the equation:

7x + (7x + 1) + (8x + 3) = 180

Simplifying this equation, we get:

22x + 4 = 180

Subtracting 4 from both sides, we get:

22x = 176

Dividing both sides by 22, we get:

x = 8

Now that we know the value of x, we can find the measure of each angle in triangle ABC:

m∠A = 8x + 3 = 67 degrees m∠B = 7x = 56 degrees m∠C = 7x + 1 = 57 degrees

Therefore, the measure of angle A is 67 degrees, the measure of angle B is 56 degrees, and the measure of angle C is 57 degrees.