Question

In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______

Answer 1

Answer:

The measure of first angle is 44°.

The measure of second angle is 22°.

The measure of third angle is 114°.

Step-by-step explanation:

First, you have to form expressions for the 3 angles. Let second angle be x :

First angle = (2x)°

Second angle = x°

Third angle = (92 + x)°

Next, you have to add up altogether as the total angles in a triangle is 180° :

2x + x + 92 + x = 180

4x + 92 = 180

4x = 180 - 92

4x = 88

x = 88 ÷ 4

x = 22°

Lastly, you have to substitute the x-value into the expressions :

First angle = 2(22) = 44°

Second angle = 22°

Third angle = 92 + 22 = 114°

Answer 2

Answer:

In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 68 more than the measure of the second angle. Use the face that the sum of the three measures of the three angels of a triangle is 180 degree to find the measure of each angle. a) the measure of the smallest angle. b) The measure of the second largest angle. c) the measure of the largest angle.

Step-by-step explanation: