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in the figure below, what is the value of a? 135° a° a 35 b 45 c 90 d 1…

Question

in the figure below, what is the value of a? 135° a° a 35 b 45 c 90 d 135

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(135^{\circ}+a^{\circ} = 180^{\circ}\).

Step2: Solve for \(a\)

Subtract \(135^{\circ}\) from both sides: \(a^{\circ}=180^{\circ}- 135^{\circ}\).
\(a = 45\)

Answer:

B. 45