Question

Write and solve an equation to find the value
of x. Then find the measure of each angle.
Equation:
(6x + 1)
com (5x - 17)
(9x - 24)"
Answers
<PTA =
<APT =
<PAT =​

Answer 1

Answer:

x = 11 ,

<APT = 6x + 1 ➡ 67°

<PTA = 9x - 24 ➡75°

<PAT = 5x - 17 ➡ 38°

Step-by-step explanation:

(5x - 17) + (9x - 24) + (6x + 1)=180°

20x - 40 = 180°

20x = 180° + 40°

20x = 220°

x = 11

Answer 2

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

6x + 1 + 9x - 24 + 5x - 17 = 180, that is

20x - 40 = 180 ( add 40 to both sides )

20x = 220 ( divide both sides by 20 )

x = 11

Hence

∠PTA = 9x - 24 = (9 × 11) - 24 = 99 - 24 = 75°

∠APT = 6x + 1 = (6 × 11) + 1 = 66 + 1 = 67°

∠PAT = 5x - 17 = (5 × 11) - 17 = 55 - 17 = 38°