Answer:
Below
Step-by-step explanation:
We are given that <PMO= (3a+15)° and NMO= (6a-6)°
Notice that the sum of <PMO and <NMO gives a right angle.
● <PMO+<NMO = 90°
● 3a+15+6a-6 = 90
● 9a + 9 = 90
Substruct 9 from both sides
● 9a +9 -9 = 90 -9
● 9a = 81
Divide both sides by 9
● 9a/9 =81/9
● a = 9
So the value of a is 9°
■■■■■■■■■■■■■■■■■■■■■■■■■■
MN and PO are parallel since MNOP is a rectangle.
MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.
● <NMO = <POM
● <POM = 6a-6
The value of a is 9°
● <POM = 6*9-6 = 48°
So <POM = 48°
