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dragongacha777
12.02.2021 •
Mathematics
Need help for Geo very Urgent please
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Ответ:
![\color{plum}\tt \: \bold{\tt m∠1 = 77.7°}](/tpl/images/1115/9429/ea486.png)
In triangle 2 :![\color{plum}\bold{\tt \: m∠C =63° }](/tpl/images/1115/9429/72fcc.png)
In triangle 3 :Steps to derive the correct measurement of each of the angles :
In triangle 1 :
Given :
m∠2 = 52.2°m∠3 = 50.1°Sum of all angles in a triangle = 180°
Which means :
Thus, the measure of angle 1 = 77.7°
Since the sum of all angles (77.7+52.2+50.1=180°) equals 180° we can conclude that we have found out the correct value of angle 1.
Therefore, the m∠1 = 77.7°
In triangle 2 :
Given :
m∠A = 54°m∠B = m∠CLet the measure of angle B be x.
Then, the measure of angle C will also be x.
Which means the sum of angle B and C will be equal to 2x.
That means :
Thus, the measure of Angle B = 63°
Measure of angle C = 63°
In triangle 3 :
Given :
m∠3 = 112°Measure of exterior angle = 140°Which means :
= m∠2 + 112° = 140° (exterior angle property)
Thus, the measure of angle 2 = 28°
= m∠1 + m∠2 + m∠3 = 180°
Thus, the measure of angle 1 = 40°
Ответ:
$3.57
Hope this help :)