Question

What is mS?
A. 56
B. 68
C. 112
D. 124

Answer 1

mS = 68 (B)

Explanation:

First, we are given mR, which is 56.

Next, we can figure out mQ by subtracting 124 from 180 (because it's a straight line) :: 180 - 124 = 56, SO, mQ = 56

Now, we know that the sum of all the interior angles is 180, so we'll subtract mR and mQ from that....

180 - (mR + mQ) >> 180 - (56 + 56) >> 180 - 112 = 68

therefore, mS = 68

Answer 2

[B] 68

Explanation:

Given:

the figure in the picture

Solution:

Q - 124 + 56 =180

Since, r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees.

Step by step solving below:

Q = 180 - 124

Q = 56

56 (m∠Q) + 56 (m∠ R) = 112

S = 180 - 112

S = 68

Thus, the answer is [B] 68 which also means m∠ 68

Kavinsky