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MWhat is the measure of ∠F?

MWhat is the measure of ∠F?-example-1
User Lukas Petr
by
7.3k points

2 Answers

3 votes

Answer:

48°

Explanation:

A/C, 6x - 4 + 8x - 18 + 5x - 7 = 180°

or, 19x - 29 = 180°

or, x = 209 ÷ 19 = 11

So, x equals 11.

Now, Angle F = (5 × x) - 7 = (5 × 11) - 7 = 55 - 7 = 48°

Hence, Angle F measures 48°.

HOPE IT HELPED BUDDY!

User Brandon Taylor
by
7.8k points
4 votes

Answer:

Angle F i= 48 degrees

Explanation:

Sum of angles in a triangle= 180°

8x -18+ 6x-4+5x-7= 180

Collect like terms

8x +6x +5x -18 -7-4=180

19x-29=180

19x = 180 +29

19x=209

x=209/19

x= 11

⇒Angle F= 5x-7

= 5(11)-7

= 55-7

=48 degrees

User Michaelslater
by
7.5k points