Question

Two angles are supplementary. They have the following measures: MLACB = x° and m/BCD = 26°.
What is the measure of LACB? (1 point)

m angles: ACB = ______

Answer 1

Two angles are supplementary. They have the following measures: MZQRS = (x + 16) ° and m/SRT = (3x) ° What is the measure of /SRT? ( point)

m angles: SRT= ______

Answer 2

The measure of angle LACB can be found by subtracting the measure of angle BCD from 180 degrees because the angles are supplementary:

LACB = 180° - 26° = 154°

So, the measure of angle LACB is 154 degrees.

Answer 3

Since the two angles are supplementary, their measures add up to 180 degrees:

(x + 16) + (3x) = 180

4x + 16 = 180

4x = 180 - 16

4x = 164

x = 41

Now we can substitute the value of x into the equation to find the measure of angle SRT:

m/SRT = 3x

m/SRT = 3(41)

m/SRT = 123

Therefore, the measure of angle SRT is 123 degrees.