157k views
3 votes
URGENT. Please help me!! 30 points :))

URGENT. Please help me!! 30 points :))-example-1
User Elba
by
7.3k points

1 Answer

5 votes

Answer:

<T = 83

Explanation:

In a parallelogram <M = < P and < N = <T (opposite angles are congruent)

We also know that <M + <N = 180 ( consecutive angles are supplementary)

<M + <N = 180

6x+10 + 5x+10.5 = 180

Combine like terms

11x+20.5 = 180

Subtract 20.5 from each side

11x +20.5-20.5 = 180-20.5

11x = 159.5

Divide each side by 11

11x/11 = 159.5/11

x=14.5

We can find <N

<N = 5x+10.5

= 5(14.5)+105

=72.5 +10.5

= 83


<N = <T = 83

User David Robertson
by
7.9k points

No related questions found