Question

Part A: A triangle has angles measuring 2xo, xo, and 45o. Write an equation that can be solved to find the value of x?

Part B: Using your equation from part A, Find the measure of each angle, in degrees.

Angle 2x*__________; Angle x*__________

Answer 1

X° + 2x° + 45° = 180°

X = 45°, 2x = 90°

Explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°