lanaharley lanaharley
  • 25-05-2021
  • Mathematics
contestada

Find measure angle GJK (5x + 8) (7x - 16)

Find measure angle GJK 5x 8 7x 16 class=

Respuesta :

leena
leena leena
  • 25-05-2021

Hi there!

[tex]\large\boxed{22^o}[/tex]

Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.

Using the Alternate Interior Angle theorem:

m∠HJI = m∠JHG, so:

7x - 16 = 5x + 8

Solve for x:

2x - 16 = 8

2x = 24

x = 12

Substitute in this value of x to solve for m∠HJI:

7(12) - 16 = 84 - 16 = 68°

Thus:

m∠GJH = 90 - 68° = 22°

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