BRAINLIST In the above figure, m∠P = 130° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the measure of angle Q?

A.
x = 62, m∠Q = 50°
B.
x = 44, m∠Q = 220°
C.
x = 10, m∠Q = 50°
D.
x = 10, m∠Q = 15°

C x = 10  Q = 50

Step-by-step explanation:

supplemantary means adds to 180 deg.

so 130 + 5x = 180

5x = 50 = ang. Q

x = 50/5 = 10 deg.

x= 12 and Angle Q measures 60 degrees

Step-by-step explanation:

Supplementary angles are two angles added together to make 180.

So 5x +120= 180  subtract 120 from both sides

5x=60  divide both sides by 5

x= 12

Angle Q= 5 times 12 = 60

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.

central angle of a triangle has the same measure as its intercepted arc.

step-by-step explanation: