Question

In parallelogram MNPT, IZM= (6x + 10)° and mZN= (5x + 10.5)° . How many degrees is ZT?

Answer 1

Answer:

the measure of the angle t is the 118.5

Answer 2

Answer:

83 degrees

Step-by-step explanation:

We can use the consecutive angle theorem to find the the value of x.

We can do that by doing 5x+10.5+6x+10 = 180

After simplifying, we get 11x+20.5=180

Subtract 20.5 on both sides and you get 11x=159.5.

Divide by 11 on both sides and you get x=14.5

Now we can use opposite angle theorem and set angle N and angle T equal.

That means we could write 5x+10.5 = m<T

We can substitute 14.5 for x and we get 72.5+10.5 = m<T

Simplify and you get 83 = m<T

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Hope this helps!