Angles j and k are supplementary angles. What is m∠j if m∠k=117° ?(1 point)

Question

°

Answer 1

Since angles j and k are supplementary, their sum is 180 degrees. Therefore, m∠j = 180° - m∠k = 180° - 117° = 63°.

Answer 2

Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ? (1 point)
(3x−24)°+. °=. °

Answer 3

The equation to solve for x is:
(3x - 24)° + 105° = 180°

Answer 4

Angle Pairs Unit Test
10 of 15 10 of 15 Items

Question
Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
m∠ACB=. °

Answer 5

Since the two angles are supplementary, their sum is equal to 180 degrees. Therefore, we can set up the equation:

4x + (6x + 50) = 180

Now we can solve for x:

10x + 50 = 180
10x = 180 - 50
10x = 130
x = 13

Now we can substitute the value of x back into the expression for angle ACB:

m∠ACB = 4x = 4(13) = 52 degrees

Therefore, the measure of angle ACB is 52 degrees.