In Triangle MNP, the measure of angle M is 24 degrees. The Measure of angle N is five times the Measure of angle P. Find Measure <N and Measure <P.

<P = 26 degrees

<N = 130 degrees

Step-by-step explanation:

The sum of angle of a triangle is 180, hence

<M + <N + <P = 180

If the Measure of angle N is five times the Measure of angle P, then;

<N = 5<P

<M = 24 degrees

Substotute into the formula

24 + 5<P + <P = 180

24 + 6<P = 180

6<P = 180-24

6<P = 156

<P   = 156/6

<P = 26 degrees

Since <N = 5<P

<N = 5(26)

<N = 130 degrees

Hence the measure of <P is 26 degrees and that of <N is 130 degrees

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8