Question

7. Determine the value of x for which ris if
m_1 = 80 - X; and
• m22 90 - 2x.

Answer 1

The given is that r║s while the angles are known.

m∠1 = 80 - x

m∠2 = 90 - 2x

m∠1 = m∠2 because of corresponding angles theorem.

So,

m∠1 = m∠2

80 - x = 90 - 2x

- x = 90 - 80 - 2x

- x = 10 - 2x

- x + 2x = 10

x = 10

The value of x is 10