what is vertex angle of 4

Question

what is vertex angle of 4

Answer 1

What is vertex angle of 4?

Important Information:

1. The vertex angle of an isosceles triangle.

1. The vertex angle is 4 times the measure of a base angle.

1. The sum of angles in the triangle is 180 degrees.

Step 1:

Let x be the measure of one base angle.

What is the Equation:

x + x + 4x = 180

Combine like terms:

2x +4x =180 = 6x = 180 (isolate x)

(cancel out the 6's on left side)

Divide both sides by 6: 6x/6 = 180/6 x = 180/6 = 30 x= 30

Step 2:

Calculate the vertex angle

Vertex angle = 4x x = 30 4 times 30 = 120 degrees

Vertex angle = 120 degrees

Solution:

The vertex angle is 120 degrees

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.