Find the m∠SAQ. 44° 46° 57° 77°

Mathematics

2 answers:

dimulka [17.4K]3 years ago

7 0

Answer:

X=57

Step-by-step explanation:

77+46+X=180

123+X=180

X=180-123

X=57

bonufazy [111]3 years ago

7 0

Answer:

57°

Step-by-step explanation:

Hope it helps you in your learning process

46° + m∠SAQ + 77° = 180° (straight line angles)

m∠SAQ + 123° = 180°

m∠SAQ = 180° - 123°

m∠SAQ = 57°

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$\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\ 1.AY=BX&\text{1. Given}\\ 2.AB \cong AB&\text{2. Reflexive Property}\\ 3. AD || BC&\text{3. Property of a square}\\ 4. \angle ABE \cong \angle AXB&\text{4. Alternate Interior Angles}\\ 5. \angle BAY \cong \angle BYA&\text{5. Alternate Interior Angles}\\6. \triangle BAX \cong \triangle ABY&\text{6. Angle-Side-Angle Theorem}\\ 7. AX \cong BY&\text{7. CPCTC}\\\end{array}$

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