Question

In the figure, angle POR measure 170° and ROQ measures 52°.

If POQ = x, which equation could be used to solve for x?

Answer 1

here are four answer choices:

A: x + 170° = 52°

B: x + 170° + 52°

C: x + 52° + 170° = 180°

D x + 52° = 170°


Choose one of the answers but can you please solve each one to solve for x?

Answer 2

To solve for x, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle POR, we know that angle POR measures 170 degrees and angle ROQ measures 52 degrees.

So, the third angle, angle POQ = x, can be found by subtracting the sum of the known angles from 180 degrees:

x = 180 - (170 + 52)

Therefore, the equation that could be used to solve for x is:

x = 180 - 170 - 52

Answer 3

Sure! Let's solve each equation to find x:

A: x + 170° = 52°
To isolate x, subtract 170° from both sides:
x = 52° - 170°
x = -118°

B: x + 170° + 52°
To solve for x, combine like terms:
x + 222°

C: x + 52° + 170° = 180°
To solve for x, subtract 52° and 170° from both sides:
x = 180° - 52° - 170°
x = -42°

D: x + 52° = 170°
To isolate x, subtract 52° from both sides:
x = 170° - 52°
x = 118°

Therefore, the correct equation to solve for x is option D: x + 52° = 170°, which gives us the answer x = 118°.