The measure of angle FGH is 155°.The measure of angle JGH is 45°.The measure of angle FGJ is x°.Find the value of x.
Question
The measure of angle FGH is 155°.
The measure of angle JGH is 45°.
The measure of angle FGJ is x°.
Find the value of x.
Solution
To find the value of x, you need to know that the sum of the angles in a triangle is 180°.
Here, the triangle is FGH and the given angles are FGH = 155° and JGH = 45°.
So, to find the third angle FGJ (which is x), you subtract the sum of the given angles from 180°.
Mathematically, this is expressed as:
x = 180° - (155° + 45°)
Solving this gives:
x = 180° - 200°
So, x = -20°
However, an angle cannot be negative. This means there might be a mistake in the problem as the sum of the given angles is already more than 180°. Please check the problem again.
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