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2 votes
Can someone Help please

Can someone Help please-example-1
User Vis
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2 Answers

2 votes
since both triangle are equivalent you begin by finding your x with your given:
2x-15=x+15
+15. +15
2x=x+30
-x. -x
————
x=30

now that you’ve found x you plug it into your given (2x-15 and x+15)

2x-15
2(30)-15
60-15
45
so angle C = 45

and after you add your given angle and the angle you just found
since B is a right angle it equals 90°
so you add those two and subtract angles B and C from 180° (a triangles angles combined equal 180°):
A= B + C - 180°
A= 90°+45°-180
A=135-180
A=45°

and since both triangles are equal
Angle D = 90°
Angle E = 45°
Angle F = 45°
User Sfdcnoob
by
7.3k points
1 vote

since the triangles are equivalent we can set both the equations with an equal sign

2x-15=x+15

solve for x

2x-x=15+15

x=30

plug in x into 2x-15 to get an angle of triangle ABC

2(30)-15

x=45

then to get the last angle of triangle ABC we do

180-(90+45)

= 45

to get the other triangle's (DFE) angles we plug in x again

into

x+15

45+15= 60

to get the last angle we do

180-(90+60)

= 30

User Sufiyan Ansari
by
7.5k points