keyandzay
keyandzay keyandzay
  • 23-12-2020
  • Mathematics
contestada


HELP ME PLZ

A figure is shown in the image. What is the measure, in
degrees of
А. 95.4
B. 52.1
C. 74.2
D. 64.7

HELP ME PLZ A figure is shown in the image What is the measure in degrees of А 954 B 521 C 742 D 647 class=

Respuesta :

vichingmachine vichingmachine
  • 23-12-2020

Answer:

Step-by-step explanation:

angles x, 2x, and 23.7 add up to 180 degrees

x + 2x + 23.7 = 180

3x + 23.7 = 180

subtract 23.7 on both sides

3x + 23.7 - 23.7 = 180 - 23.7

3x = 156.3

divide both sides by 3

x = 52.1

Angle C is a straight line = 180 degrees

Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)

we found x = 52.1 degrees

so angle B = 180 - 32.5 - 52.1 = 95.4 degrees

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