ps4epgm ps4epgm
  • 20-09-2021
  • Mathematics
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given the diagram below find x and the measure of pac and tac

given the diagram below find x and the measure of pac and tac class=

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Phobic111
Phobic111 Phobic111
  • 20-09-2021

Answer:

8, 40°, 50°

Step-by-step explanation:

∠PAT is a right angle triangle so it sums up to 90°

5x + 7x - 6 = 90

12x - 6 = 90

12x = 90 +6

12x = 96

x = 96 ÷ 12

x = 8

Substitute...

∠PAC = 5x

5 × 8 = 40

∴∠PAC is 40°

∠TAC = 7x - 6

7 × 8 - 6 = 50

∴∠TAC is 50°

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