Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6° and 52.8° .(1 point)

Question

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Answer 1

To find the measure of the third angle, we need to subtract the sum of the other two angles from 180°.

Let x be the measure of the third angle.

According to the Triangle Angle Sum Theorem,

x + 34.6° + 52.8° = 180°

Combine like terms:

x + 87.4° = 180°

Subtract 87.4° from both sides:

x = 92.6°

Therefore, the measure of the third angle is 92.6°.

Answer 2

Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63°
and 40°
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Answer 3

To find the measure of the third angle, we need to subtract the sum of the other two angles from 180°.

Let x be the measure of the third angle.

According to the Triangle Angle Sum Theorem,

x + 63° + 40° = 180°

Combine like terms:

x + 103° = 180°

Subtract 103° from both sides:

x = 77°

Therefore, the measure of the third angle is 77°.

Answer 4

A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle.
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Answer 5

To find the measure of the third angle, we need to subtract the sum of the other two angles from 180°.

Let x be the measure of the third angle.

According to the Triangle Angle Sum Theorem,

40° + 65° + x = 180°

Combine like terms:

105° + x = 180°

Subtract 105° from both sides:

x = 180° - 105°

x = 75°

Therefore, the measure of the third angle is 75°.

Answer 6

A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.
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Answer 7

To solve for x, we need to use the Triangle Angle Sum Theorem. According to this theorem, the sum of the interior angles of a triangle is always 180°.

So we can set up the equation:

75° + 41° + (3x + 19)° = 180°

Combine like terms:

116° + 3x + 19° = 180°

Combine like terms again:

135° + 3x = 180°

Subtract 135° from both sides:

3x = 45°

Divide both sides by 3:

x = 15°

Therefore, the value of x is 15°.