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In parallelogram RSWY, find m

In parallelogram RSWY, find m-example-1
User Bmaddy
by
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1 Answer

7 votes

Answer:

Part A)
m\angle R=110^o

Part B)
m\angle S=70^o

Explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

step 1

Find the value of x

we know that


m\angle R=m\angle W ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values


(5x-90)^o=(2x+30)^o

solve for x


5x-2x=30+90\\3x=120\\x=40^o

step 2

Find the measure of angle R


m\angle R=(5x-90)^o

substitute the value of x


m\angle R=(5(40)-90)=110^o

step 3

Find the measure of angle S

we know that


m\angle R+m\angle S=180^o ---> by definition of parallelogram (consecutive angles are supplementary)

we have


m\angle R=110^o

substitute


110^o+m\angle S=180^o


m\angle S=180^o-110^o


m\angle S=70^o

User Bill K
by
7.8k points

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