A figure shows two nonadjacent angles with measures (2x + 3) ° and 2x°. If the angles are complementary, what is the equation for the angle measures? (1 point)

COURSE TOOLS
tem6
Item 7
+2°A figure shows two nonadjacent angles with measures (2x + 3) ° and 2x°. If the angles are complementary, what is the equation for the angle measures? (1 point)
COURSE TOOLS
tem6
Item 7
+2°A figure shows two nonadjacent angles with measures (2x + 3) ° and 2x°. If the angles are complementary, what is the equation for the angle measures? (1 point)
COURSE TOOLS
tem6
Item 7
+2°

To find the equation for the angle measures, we know that complementary angles add up to 90 degrees.

So, we can set up the equation: (2x + 3) + 2x = 90

Now, we can solve for x:

4x + 3 = 90

Subtract 3 from both sides:

4x = 87

Divide both sides by 4:

x = 21.75

Now, we can substitute this value back into the angle measurements:

Angle 1: 2x + 3 = 2(21.75) + 3 = 43.5 + 3 = 46.5 degrees

Angle 2: 2x = 2(21.75) = 43.5 degrees

So, the equation for the angle measures is (2x + 3) ° and 2x°.

what does it eaqul

The equation (2x + 3) + 2x = 90 is an algebraic equation that represents the relationship between the two angle measures. It states that the sum of the two angle measures (2x + 3) and 2x is equal to 90 degrees since the angles are complementary.