Question

21 and 22 are vertical angles. If m∠1 = (9x + 7)º and m∠2 = (2x + 98)º, find m∠1.

Option 1: m∠1 = 56°
Option 2: m∠1 = 124°
Option 3: m∠1 = 91°
Option 4: m∠1 = 13°

Answer 1

To find the measure of angle 1, use the fact that vertical angles are congruent and set up an equation.

Step-by-step explanation:

To find the measure of angle 1, we need to set up an equation using the fact that vertical angles are congruent. Since angle 21 and angle 22 are vertical angles, they are congruent. This means that:

m∠1 = m∠21

We know that m∠21 = (9x + 7)º, so we can substitute this in our equation:

m∠1 = (9x + 7)º

Now we can solve for x to find the measure of angle 1.