Question

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Explanation:

Problem 11:

Step1: Set angles equal (vertical angles)

$20x - 16 = 15x + 24$

Step2: Solve for x

$20x - 15x = 24 + 16$
$5x = 40$
$x = \frac{40}{5} = 8$

Step3: Calculate angle A

$A = 20(8) - 16 = 160 - 16 = 144$

Step4: Calculate angle B

$B = 15(8) + 24 = 120 + 24 = 144$

Problem 12:

Step1: Set angles equal (vertical angles)

$3x = x + 26$

Step2: Solve for x

$3x - x = 26$
$2x = 26$
$x = \frac{26}{2} = 13$

Step3: Calculate angle A

$A = 3(13) = 39$

Step4: Calculate angle B

$B = 13 + 26 = 39$

Answer:

Problem 11:

$x = 8$, $A = 144^\circ$, $B = 144^\circ$

Problem 12:

$x = 13$, $A = 39^\circ$, $B = 39^\circ$