i’ll mark brainliest! i tried putting this at 13 points!

m∠T = 54°

Step-by-step explanation:

The measure of a straight line is 180°. (Linear angles theorem)

So, m∠WMT + 117° = 180°

m∠WMT = 180 - 117 = 63°

The base angles in an isoceles triangle are equal in measure (base angle theorem)

So,

m∠MWT = m∠WMT

m∠MWT = 63°

The sum of angles in a triangle is 180°. (Sum of angles in a triangle theorem) So,

m∠MWT + m∠WTM + m∠WMT = 180°

Substitute the measures we already found.

63 + m∠WTM + 63 = 180

Simplify.

126 + m∠WTM = 180

m∠WTM = 54°

m∠T = 54°

I hope this helps! Feel free to ask any questions!

54°

Step-by-step explanation:

First calculate Angle WMT as: 180° - 117° = 63°

And note that Angle WMT = Angle MWT = 63°

Therefore, Angle T = 180° - 63° - 63°

Angle T = 54°

36

step-by-step explanation:

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