Question

Calculate the measure of ∠ PMU and ∠ UPM.

m∠ PMU =
m∠ UPM =

Answer 1

Answer:

you want to find angle PMB to find PMU

180-21-35= 124

so now, you subtract 180-124 to find PMU

180-124= 56

Now, subtract 56 and 62 from 180 to find angle UPM

180-56-62= 62

m< PMU = 56

m<UPM = 62

Answer 2

Step-by-step explanation:

So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.

62+35=97

180-97=83

Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.

83-21=62(angle UPM)

Then do the same steps for finding the M angles

(Left Triangle)

62+62=124

180-124=56

(Right Triangle)

21+35=56

180-56=124

And because M intersects a straight line, the M angles should add up to 180.

56+124=180

Hope This Helps :)