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lexied2303
lexied2303 lexied2303
  • 25-02-2016
  • Mathematics
Answered

Angle x is (2n + 12)°, and angle y is (3n + 18)° . Find the measure of angle x.

A24°
B30°
C72°
D108°

Angle x is (2n + 12) , and angle y is (3n + 18) . Find the measure of angle x. A) 24 B) 30 C) 72 D) 108 class=

Verified Answer :

taskmasters
taskmasters taskmasters
  • 04-03-2016

X and Y are supplementary angles. The sum of the supplementary angles is 180.

So, X + Y = 180
180 = 2n+12 + 3n + 18
180 = 5n + 30
5n = 150
n = 30

X = 2n+12
X = 2(30) + 12
X = 72

Y = 3n + 18
Y = 3(30) + 18
Y = 108

Answer Link
DarrickWebb38
DarrickWebb38 DarrickWebb38
  • 01-04-2020

Answer:

Since both angles make up the sum of the straight line, they are supplementary, or 180°. So


2n + 12 + 3n + 18 = 180


5n + 30 = 180


5n = 150


n = 30

So the measure of angle x is 2(30)+12 = 72°.

Step-by-step explanation:

Answer Link

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