If a triangle has a 32° angle and a 67° angle, what is the measurement of the third angle?

To find the measurement of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180°.

Given that one angle is 32° and another angle is 67°, we can solve for the third angle using the equation:

32° + 67° + x = 180°

Combining like terms, we have:

99° + x = 180°

Subtracting 99° from both sides, we get:

x = 180° - 99°

Simplifying, the measurement of the third angle is:

x = 81°

To find the measurement of the third angle in a triangle, we need to use the fact that the sum of the angles in any triangle is always 180 degrees.

In this case, we know that the triangle has a 32° angle and a 67° angle. To find the measurement of the third angle, we can subtract the sum of these two angles from 180°.

Third angle = 180° - (32° + 67°)
Third angle = 180° - 99°
Third angle = 81°

Therefore, the measurement of the third angle is 81 degrees.

To find the measurement of the third angle of a triangle, we need to know that the sum of all angles in a triangle is always 180 degrees.

Let's find the measurement of the third angle:

1. Add the given angles: 32° + 67° = 99°
2. Subtract the sum from 180°: 180° - 99° = 81°

Therefore, the measurement of the third angle is 81°.

If two angles of a triangle add up to 110° , what is the measure of the third angle?

To find the measure of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180°.

Given that the sum of two angles in the triangle is 110°, we can solve for the measure of the third angle using the equation:

x + 110° = 180°

Subtracting 110° from both sides, we get:

x = 180° - 110°

Simplifying, the measure of the third angle is:

x = 70°

Therefore, the measure of the third angle is 70°.

If two angles of a triangle add up to 75° what is the measure of the third angle?

To find the measure of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180 degrees.

Given that the sum of two angles in the triangle is 75 degrees, we can solve for the measure of the third angle using the equation:

x + 75 = 180

Subtracting 75 from both sides, we get:

x = 180 - 75

Simplifying, the measure of the third angle is:

x = 105 degrees

Therefore, the measure of the third angle is 105 degrees.

If a triangle has a 22° angle and a 46° angle, what can be established about the third angle measure and the type of triangle?(1 point)

Responses

To determine the measure of the third angle and the type of triangle, we need to know that the sum of all three angles in a triangle is always 180 degrees.

Given that one angle is 22° and another angle is 46°, we can find the measure of the third angle using the equation:

22° + 46° + x = 180°

Combining like terms, we have:

68° + x = 180°

Subtracting 68° from both sides, we get:

x = 180° - 68°

Simplifying, the measure of the third angle is:

x = 112°

With a 112° third angle, we can establish that the triangle is an obtuse triangle. This is because an obtuse triangle has one angle greater than 90°. In this case, the third angle (112°) is greater than 90°.

Therefore, the measure of the third angle is 112° and the triangle is an obtuse triangle.

Can a triangle have two right angles, and why or why not?