Question

In the triangle below, suppose that m 2 E=(x+6), mZF = (3x-2), and mZG=(7x)".

Find the degree measure of each angle in the triangle,
(7x)° C
m ZE = U
mZF = 0
m LG = 0
(3x - 2)

Answer 1

To find the degree measure of each angle in the triangle, we need to use the information given and solve for x. Then, we can calculate the degree measures of angles A, B, and C.

Step-by-step explanation:

To find the degree measure of each angle in the triangle, we need to use the information given. Let's call angle 2E as angle A, angle ZF as angle B, and angle ZG as angle C. We have the following equations:

1. m A = x + 6
2. m B = 3x - 2
3. m C = 7x
4. m A + m B + m C = 180° (sum of angles in a triangle)

We can substitute the values of m A, m B, and m C into the equation and solve for x. Then, we can find the values of each angle by substituting x into the corresponding equations. Finally, we can calculate the degree measures of angles A, B, and C.