scarletrubio61 scarletrubio61

16-09-2022
Mathematics

contestada

K
ZRQT is a straight angle. What are mZRQS and
mZTQS?
mZRQS=
mZTQS=
ICCEID
R
30% /
(15x + 1)º
(10x + 4)º

K ZRQT is a straight angle What are mZRQS and mZTQS mZRQS mZTQS ICCEID R 30 15x 1º 10x 4º class=

Respuesta :

mhanifa mhanifa

17-09-2022

Answer:

m∠RQS = 106°
m∠TQS = 74°

===============================

Use angle addition postulate:

m∠RQT = m∠RQS + m∠TQS

Substitute the values and solve for x:

180 = 15x + 1 + 10x + 4
180 = 25x + 5
175 = 25x
x = 175/25
x = 7

Find the angle measures:

m∠RQS = 15*7 + 1 = 106

m∠TQS = 10*7 + 4 = 74

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