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NEED THIS TO BE CORRECT, I WILL GIVE ANYTHING!!

3. Triangle ABC has angle measures as shown.

(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

NEED THIS TO BE CORRECT, I WILL GIVE ANYTHING!! 3. Triangle ABC has angle measures-example-1
User Jwi
by
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2 Answers

1 vote

Explanation:

3(x+2) + 35 + 52 = 180 ( Angle sum property)

3x+ 6 + 87 = 180

3x + 93 = 180

3x = 180 - 93 = 87

x= 87/ 3

x = 29

∠C = 3 ( 29 + 2)

= 3 x 31

= 93

User Suely
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4.7k points
4 votes

Answer:

A= 87 B= 93

Explanation:

A

To answer this you must have some previous conventional information. All the internal angles of a triangle summed get 180º, that means:

3(x+2)+35+52=180

3x+6+35+52=180

3x+(6+35+52)=180

3x+ 93=180 organizing the values oh the correct sides we have

3x= 180-93 ( 93 comes to the right of the =signal and changes its value from + to -.

3x=87

x=87/3 ( / stands for divided by)

x=29

Bear in mind the equation from the angle: 3(x + 2)

3( 29+ 2 )= 3x29+6=

x=87

B:

Angle C =

3 (x + 2 )

3(29+2)=

87+6=93

JUST TO CHECK

A+B+C=180

35+52+93=180

180=180

User Uga Buga
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5.5k points