Question

The measure of two supplementary angles are (2x+9)degrees and (6x+8)degrees.
what is the measure of the smaller angle?
a. 130.25 degrees
b. 49.75 degrees
c. 50.25 degrees
d. 11.25 degrees

Answer 1

Answer:

Step-by-step explanation:

Two angles are supplementary when their sum is 180.

=> 2x + 9 + 6x + 8 = 180

=> 8x = 180 - 17

=> 8x = 163

=> x = 163/8

So the angles are 2x + 9 = 2*163/8 + 9 = 49.75°

                              6x + 8 = 6 * 163/8 + 8 = 130.25°

Thus the measure of smaller angle us 49.75°

Answer 2

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The measure of two supplementary angles are (2x+9)° and (6x+8)°. What is the measure of the smaller angle?

• a. 130.25 degrees
• b. 49.75 degrees ✔
• c. 50.25 degrees
• d. 11.25 degrees