In the diagram, what is the measure of angle 1 to the nearest degree?
82°
92°
94°
98°

Step-by-step explanation:

Step 1

Find the value of x

we know that

----> by vertical angles

Solve for x

Step 2

Find the measure of angle 1

we know that

------> by supplementary angles

Substitute the value of x and solve for m<1

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