Question

1. What is the value of x? Identify the missing justifications.
m_PQR = x + 7, mZSOR = x+3, and mzPQR + m2SQR = mzPQS = 100
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mPOR + m_SOR = m_POS 2.
*+7+x+3 = 100
b. Substitution Property
2x + 10 = 100
c. Simplify
2x = 90
x = 45
e. Division Property of Equality
Angle Addition Postulate; Addition Property of Equality
Angle Addition Postulate: Subtraction Property of Equality
Protractor Postulate; Addition Property of Equality
Protractor Postulate; Subtraction Property of Equality

Answer 1

Answer:

x= 45°

Properties (B).

• Angle addition postulate
• Subtraction property of Equality

Step-by-step explanation:

Given

mPOR = x + 7,

mSOR =x+3

mPOR + mSOR = mzPOS = 100--------Apply Angle addition postulate

mPOR + m_SOR = m_POS

x+7+x+3=100-------------------------------apply addition property of equality

2x+10=100----------------------------------apply subtraction property of equality

2x=100-10

2x=90----------------------apply division property of equality

2x/2=90/2

x=45°