Answer:
m<F = [tex]49^{o}[/tex]
Step-by-step explanation:
Alternate interior angles have equal values. So that;
m<F = m<H
Given that: m<F = (6x + 7) and m<H = (9x - 14).
Then,
(6x + 7) = (9x - 14)
6x + 7 = 9x - 14
collecting like terms, we have
6x - 9x = -7 - 14
-3x = -21
3x = 21
Divide both sides by 3, to have;
x = [tex]\frac{21}{3}[/tex]
= 7
therefore,
m<F = (6x + 7)
= 6 x 7 + 7
= 42 + 7
= [tex]49^{o}[/tex]
m<H = (9x - 14)
= 9 x 7 - 14
= 63 - 14
= [tex]49^{o}[/tex]
