Help me solve this with explanation

x = 19

<6 =  109

<7 = 109

Step-by-step explanation:

Angles 6 and 7 are vertical angles so they are equal

7x -24 = 5x+14

Subtract 5x from each side

7x-5x -24 = 5x-5x+14

2x-24 = 14

Add 24 to each side

2x-24 +24 = 14+24

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

<6 = 7x -24 = 7*19 -24 = 109

<7 = 5(19)+14 = 109

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc