Question

I need this answered I’ll give brainliest

Answer 1

Answer:

x = 52

Step-by-step explanation:

49° is the vertical angle of the triangle.

-> measure of other angle of triangle = 49°

By exterior angle theorem:

x° + 49° = 101°

-> x° = 101° - 49°

-> x° = 52°

-> x = 52

Answer 2

When two lines intersect, the opposite (X) angles are equal. [ so the bottom left angle of the triangle is 49° ]

a line is equal to 180° degrees therefore supplementary angles add to 180° [ so the bottom right angle of the triangle is 180° - 101° = 79° ]

The three interior angles of a triangle will always have a sum of 180°.
so
x° + 49° + 79° = 180°
x ° + 128° = 180°
x° = 52°

x = 52

I hope this helps and is the BRAINLIEST!!

Good luck with your studies!