80.9k views
4 votes
Solve for X В T M (2x + 300 55° 65 S Z N. 2 x=

Solve for X В T M (2x + 300 55° 65 S Z N. 2 x=-example-1
User Cclogg
by
5.5k points

1 Answer

7 votes

We know that angle S is congruent to Angle L by the one line in the angle

Angle N is congruent to angle R by the two lines in the angle

That leaves angle M congruent to angle T

We can find the value of angle M since we know that the angles of a triangle add to 180

L + M + N = 180

65+ 55 + M =180

120+M = 180

M = 180-120

M = 60 degree

This means that T = 60 degrees

2x+30 = 60

Subtract 30 from each side

2x+30-30 = 60-30

2x= 30

Divide each side by 2

2x/2 = 30/2

x = 15

User Bincy Baby
by
4.6k points