keyandzay
keyandzay keyandzay
  • 28-12-2020
  • Mathematics
contestada

PLZ HELP ME

In the figure below, m Z1 = 2x® and m Z2 =(x +81).
Find the angle measures.
m 21 =
= 0
1
2
m 22

PLZ HELP ME In the figure below m Z1 2x and m Z2 x 81 Find the angle measures m 21 0 1 2 m 22 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 28-12-2020

Answer:

∠ 1 = 66°, ∠ 2 = 114°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and are supplementary ( sum to 180° ), then

2x + x + 81 = 180 , that is

3x + 81 = 180 ( subtract 81 from both sides )

3x = 99 ( divide both sides by 3 )

x = 33

Thus

∠ 1 = 2x = 2 × 33 = 66°

∠ 2 = x + 81 = 33 + 81 = 114°

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