Question

for x, then find the angle measurements
type of angle pair
these angles are congruent / supplementary
equation
x =
angle measurements = and
23x - 5
21x + 5

Explanation:

Step1: Set up the equation

Since the angles are congruent, we set \(23x - 5=21x + 5\).

Step2: Solve for x

Subtract \(21x\) from both sides: \(23x-21x - 5=21x-21x + 5\), which simplifies to \(2x-5 = 5\). Then add 5 to both sides: \(2x-5 + 5=5 + 5\), getting \(2x=10\). Divide both sides by 2: \(x = 5\).

Step3: Find angle measurements

Substitute \(x = 5\) into \(23x-5\): \(23\times5-5=115 - 5=110\). Substitute \(x = 5\) into \(21x + 5\): \(21\times5+5=105 + 5=110\).

Answer:

Type of angle pair: congruent
Equation: \(23x - 5=21x + 5\)
\(x = 5\)
Angle Measurements: 110 and 110