TyrahGrace
TyrahGrace TyrahGrace
  • 17-11-2020
  • Mathematics
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For the parallelogram, if m angle 2=4x-20 and m angle 4=3x-11 find m angle 1. The diagram is not to scale.

For the parallelogram if m angle 24x20 and m angle 43x11 find m angle 1 The diagram is not to scale class=

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Illsabel
Illsabel Illsabel
  • 17-11-2020

Answer: m angle 1=164°

Step-by-step explanation:

Since the two provided angles are congruent we can make the equation

4x-20=3x-11

Subtract 3x from each side

x-20=-11

Add 20 to each side

x=9

now apply our x to one of the angles

4(9)-20

36-20

16

In a parellelogram all sides added up =360° so if we subtract 16•2 from 360 we can get the sun of the two remaining angles. So 360-32 is 328°. Divide that by 2 to get the angle measure of one of the two angles. 164

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