C ) 131 is the answer
in the upside-vertex (not inverted) triangle, angle to your left hand side would be equal to x (as interior alternate angles) = 68
and the angle to the right would be 180-y= 180-117 = 163 (as linear angles)
so the angle at the vertex = 180 - (68 + 163) =49 (as angles in a triangle sum upto 180)
so the angle mz = 180 - 49 = 131 degrees (as linear pair of angles or angle in a straight line)
Answer:
72
Step-by-step explanation:
First, the dot stands for the "product". You have to multiply.
5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28
The final answer is 5/28~
The measure of an interior angle of a regular pentagon is 108 degrees.
Answer:
37° and 53° respectively.
Step-by-step explanation:
We need to know that the angles are complementtary if ∠RSU + ∠UST = 90°. Then,
5x+7 + 9x-1 = 90
5x + 9x +7 -1 = 90
14x +6 = 90
14x = 90 - 6
14x = 84
x = 84/14
x = 6.
Then, the angle ∠RSU has measure 5(6)+ 7 = 30+7 = 37, and the angle ∠UST has measure 9(6) - 1 = 54-1 = 53.