In ∆TMZ, the measure of angle M is 6° more than twice the measure of angle T, and the measure of angle Z is 50° less than five times the measure of angle T.

m<T = , m<M = and m<Z =

Step-by-step explanation:

From the given ∆TMZ, let the measure angle T be represented by T.

So that,

m<M = 2T + 6°

m<Z = 5T - 50°

Sum of angles in a triangle =

T + (2T + 6°) + (5T - 50°) =

8T - =

8T = +

    =

T =

   =

Therefore,

i. m<T =

ii. m<M = 2T + 6°

        = 2 x + 6°

        =

m<M =

iii. m<Z = 5T - 50°

            = 5 x - 50°

            = - 50°

            =

m<Z =