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The measure of angle FGH is 75°.The measure of angle JGH is 35°.The measure of angle FGJ is x°.Find the value of x. G35°x°J75°FH

Question

The measure of angle FGH is 75°.

The measure of angle JGH is 35°.

The measure of angle FGJ is x°.

Find the value of x.

G 35° x° J 75° F H

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Solution

The problem involves finding the measure of angle FGJ (x°) in a triangle.

We know that the sum of the angles in a triangle is 180°.

Given:

  • The measure of angle FGH is 75°
  • The measure of angle JGH is 35°

We can use these values to find the measure of angle FGJ (x°).

Step 1: Add the measures of angle FGH and angle JGH. 75° + 35° = 110°

Step 2: Subtract this sum from 180° to find the measure of angle FGJ. 180° - 110° = 70°

So, the measure of angle FGJ (x°) is 70°.

This problem has been solved

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