Two supplementary angles have the following measures: m∠QRS = (x + 16)° and m∠SRT = (3x)°.

What us the measure of ∠SRT?

1 answer

The measures of two supplementary angles add up to 180 degrees. Therefore, we have the equation: (x + 16) + (3x) = 180.
Combining like terms, we get: 4x + 16 = 180.
Subtracting 16 from both sides, we have: 4x = 164.
Dividing both sides by 4, we get: x = 41.
Therefore, the measure of angle SRT is (3x) = 3 * 41 = 123 degrees.
Similar Questions
    1. answers icon 16 answers
    1. answers icon 1 answer
  1. Exploring Angles Quiz Unit 2 lesson 51. the plane on the bottom of the figure 2. supplementary angles are two angles whose
    1. answers icon 1 answer
  2. The angles below are supplementary. What is the value of x?A pair of supplementary angles is shown. One angle measures 3x + 40,
    1. answers icon 1 answer
more similar questions