Question

Triangle ABC has angle measures as noted below. Please note this triangle is not drawn to scale, and the longest leg of the figure may not be the longest leg of the actual triangle.

You will need to use the expressions for the angles given below.


m∠A) 3(x + 5)
m∠B) 5x+15
m∠C) 7x


Identify the angle relationship and setup your equation with the given expressions.

What is the value of x? Show your work.

What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.

GIVING 70 POINTS FOR RIGHT ANSWER NEED ASAP (please and ty)

Answer 1

• m∠A = 45°;
• m∠B = 65°;
• m∠C = 70°.

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Recall triangle angle sum property, the sum of three interior angles is 180°.

Add up the three angle measures, then solve the equation for x:

• m∠A + m∠B + m∠C = 180

• 3(x + 5) + 5x + 15 + 7x = 180
• 3x + 15 + 12x + 15 = 180
• 15x + 30 = 180
• 15x = 150
• x = 10

Substitute the value of x and find the value of each angle:

• m∠A = 3(10 + 5) = 3(15) = 45
• m∠B = 5*10 + 15 = 50 + 15 = 65
• m∠C = 7*10 = 70