Question
there are 2 vertical angles angles a is 72 and b is 3x + 6 write and solve an equation for x step by step
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GPT 3.5
To write and solve an equation for x based on the information given:
1. Since angles a and b are vertical angles, they are congruent. This means that angle a = angle b.
2. We are given that angle a = 72 and angle b = 3x + 6.
3. So, we can set up an equation: 72 = 3x + 6.
4. Now, we need to solve for x. First, we will subtract 6 from both sides of the equation: 72 - 6 = 3x.
5. This simplifies to: 66 = 3x.
6. Finally, to find the value of x, we will divide both sides by 3: x = 66 / 3 = 22.
7. Therefore, the value of x is 22.
1. Since angles a and b are vertical angles, they are congruent. This means that angle a = angle b.
2. We are given that angle a = 72 and angle b = 3x + 6.
3. So, we can set up an equation: 72 = 3x + 6.
4. Now, we need to solve for x. First, we will subtract 6 from both sides of the equation: 72 - 6 = 3x.
5. This simplifies to: 66 = 3x.
6. Finally, to find the value of x, we will divide both sides by 3: x = 66 / 3 = 22.
7. Therefore, the value of x is 22.
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