Question

Pretty please help me!!! i’ll mark brainliest! i tried putting this at 13 points!

Answer 1

Answer:

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°

Answer 2

Answer:

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!