Question

What is it.................

Answer 1

• The value of ∠F is 48°.

Explanation:

We know that:

• 8x - 18 + 6x - 4 + 5x - 7 = 180
• ∠F = 5x - 7

Work:

• 8x - 18 + 6x - 4 + 5x - 7 = 180
• => 19x - 29 = 180
• => 19x = 209
• => x = 209/19
• => x = 11
• => 5x - 7
• => 5(11) - 7
• => 55 - 7
• => 48

Hence, the value of ∠F is 48°.

Hoped this helped

`BrainiacUser1357`

Answer 2

Explanation:

Sum of all angles of triangle = 180

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

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

Combine like terms

19x - 29 = 180

Add 29 to both sides

19x = 180 +29

19x = 209

Divide both sides by 19

x = 209/19

x = 11

∠F = 5x - 7

= 5*11 - 7

= 55 - 7

∠F = 48°