Question

he measure of two angles in a triangle are shown in the diagram.

Which equation can be used to find the value of x?
Responses
A 2(52) + x = 1802(52) + x = 180
B 52 + 2x = 36052 + 2 x = 360
C 52 + 2x = 18052 + 2 x = 180
D 2(52) + x = 360

Answer 1

In a triangle, the sum of the interior angles is always 180 degrees. Given that one angle measures 52 degrees and there is another angle that is represented as \( 2x \) (presumably, since this isn't clearly specified), we can set up the equation based on the sum of the angles.

The correct equation to find \( x \) would be based on the fact that the two angles add up to 180 degrees. So if we assume that the second angle is \( 2x \), the equation would be:

\[ 52 + 2x = 180 \]

Thus, the correct response is:

**C** \( 52 + 2x = 180 \)