Question

Create an equation, solve for x and find all the missing angles.

Answer 1

x = 70

The missing angles: 70°, 72°, 38°

Explanation:

The sum of angles inside the triangle equals to 180 degrees in total.

There are three angles provided x, x + 2, 38°.

x + x + 2 + 38 = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

2x/2 = 140/2

x = 70

The missing angles: 70°, 70° + 2°, 38° = 70°, 72°, 38°.

Answer 2

Equation: 180° = (38°) + (x)° + (x + 2)° OR 180° = 40° + 2x

Solve for x: x = 70

Missing angles: m∠B = 70°, m∠C = 72°

Explanation:

The interior angles of a triangle add up to 180 degrees. Using this information, we can create an equation.

180° = (38°) + (x) + (x + 2)

We can simplify this equation by adding like terms.

180° = 40° + 2x

Next, we will solve for x. First, we will subtract 40 from both sides of the equation. Then, we will divide both sides of the equation by 2.

180° = 40° + 2x

140 = 2x

70 = x

Lastly, we will find all of the missing angles. To do this, we will substitute the value of x we found back into the expressions.

m∠B = x = 70°

m∠C = (x + 2) = 70° + 2° = 72°