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miv72 [106K]
3 years ago
13

If angle 3 is a right angle, find angle 2

Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

∠2=37°

Step-by-step explanation:

<u>Given:</u>

∠1=4x°

∠2=∠4 (Vertical Angle Theorem)

∠3=90°

∠4=(3x+1)°

∠4=∠2 (Vertical Angle Theorem)

∠1+∠2+∠3=180° (We use this equation in the next step)

∠1+∠3+∠4=180°

<u>Thus, ∠2=(3x+1)°, making:</u>

(4x)°+(3x+1)°+90°=180°

7x+91=180

7x=89

x=12

<u>This means:</u>

∠1=4x=4(12)=48°

∠2=3x+1=3(12)+1=37°

∠3=90°

∠4=3x+1=3(12)+1=37°

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