Question

1. 35° b 14) 29° b 15) 243° 94° b 16) 49° b 17) 90° b 18) 73° 90° b

Explanation:

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Step1: Recall angle - sum property

The sum of angles on a straight - line is 180°.
$b + 35^{\circ}=180^{\circ}$

Step2: Solve for b

Subtract 35° from both sides of the equation.
$b = 180^{\circ}-35^{\circ}=145^{\circ}$

Step1: Recall right - angle property

The right - angle is 90°. The sum of the two non - right angles in the given configuration is 90°.
$b+29^{\circ}=90^{\circ}$

Step2: Solve for b

Subtract 29° from both sides of the equation.
$b = 90^{\circ}-29^{\circ}=61^{\circ}$

Step1: Recall angle - sum around a point

The sum of angles around a point is 360°.
$243^{\circ}+94^{\circ}+b = 360^{\circ}$

Step2: Simplify the left - hand side

$337^{\circ}+b = 360^{\circ}$

Step3: Solve for b

Subtract 337° from both sides.
$b=360^{\circ}-337^{\circ}=23^{\circ}$

Answer:

$145^{\circ}$

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