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Given that the quadrilateral QRST is a parallelogram, m∠S = 6x + 6 and m∠R =3x + 24, what is the measurement of ∠S?

Given that the quadrilateral QRST is a parallelogram, m∠S = 6x + 6 and m∠R =3x + 24, what-example-1
User Elshev
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2 Answers

6 votes

m<S= 42°

Explanation:

6x + 6 = 3x + 24

-6 -6

6x= 3x + 18

-3x -3x

3x = 18


(3x)/(3x) = (18)/(3x)

x= 6

m<S= 6x + 6

m<S= 6(6) + 6

m<S= 42°

User Simon Jackson
by
5.8k points
6 votes

Answer:

42°

Explanation:

→ Since this quadrilateral is a parallelogram, ∠S is equal to ∠R. Let's represent the situation in terms of equations

6x + 6 = 3x + 24

→ Minus 3x from both sides to collect the 'x' terms

3x + 6 = 24

→ Minus 6 from both sides isolate 3x

3x = 18

→ Divide by 3 on both sides isolate x

x = 6

⇒ The value of x is 6, but this isn't the measurement of ∠S, we need to substitute in x = 6 into the expression 6x + 6

6 (6) + 6 ⇔ 36 + 6 = 42°

User Or Yaacov
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5.6k points