Question

ASAP - 40 POINTS

Triangle ABC has angle measures A= x°, B= (2x + 10)°, and C= (3x + 2)°. What is the measure of angle A, angle B and angle C? Hint: The sum of the interior angles of any triangle is 180 degrees.° Please explain/show your work.

Answer 1

Answer:

 28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

$x+(2x+10)+(3x+2)=180$

Simplify left side of the equation

$6x+12=180$

Solve equation for x

$6x=180-12\\6x=168\\x=28$

Replace x into the 3 angles and find their respectives  values

$A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86$

Check if the answers are correct

$28+66+86=180\\180=180$

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