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Find the measure of m 14x + 1
89
F
5x-7
H

Find the measure of m 14x + 1 89 F 5x-7 H-example-1
User Jasper Manickaraj
by
2.4k points

1 Answer

23 votes
23 votes

Explanation:

2 things to remember :

the sum of all angles in a triangle is always 180°.

the inner and the outer angles at a corner point of a triangle are supplementary angles (linear pair) meaning that together they have 180°.

so, the angle F is

F = 180 - 89 - (5x - 7) = 91 - 5x + 7 = 98 - 5x

and then

14x + 1 + 98 - 5x = 180

9x + 99 = 180

9x = 81

x = 9

angle H = 5×9 - 7 = 45 - 7 = 38°

User Konstantin Pavlov
by
3.4k points