Given that the quadrilateral QRST is a parallelogram, m∠S = 6x + 6 and m∠R =3x + 24, what is the measurement of ∠S?
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Answer:
42°
Step-by-step 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°
m<S= 42°
Step-by-step explanation:
6x + 6 = 3x + 24
-6 -6
6x= 3x + 18
-3x -3x
3x = 18
[tex] \frac{3x}{3x} = \frac{18}{3x} [/tex]
x= 6
m<S= 6x + 6
m<S= 6(6) + 6
m<S= 42°