Questions: Watch the video and then solve the problem given below. Click here to watch the video. The measures of two angles of a triangle are given. Find the measure of the third angle. 50°, 98° The measure of the third angle is ^circ.

Watch the video and then solve the problem given below.
Click here to watch the video.
The measures of two angles of a triangle are given. Find the measure of the third angle.
50°, 98°

The measure of the third angle is   ^circ.
Transcript text: Watch the video and then solve the problem given below. Click here to watch the video. The measures of two angles of a triangle are given. Find the measure of the third angle. \[ 50^{\circ}, 98^{\circ} \] The measure of the third angle is $\square$ ${ }^{\circ}$.
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Solution

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To find the measure of the third angle in a triangle, we can use the fact that the sum of the interior angles of a triangle is always \(180^{\circ}\).

Given the measures of two angles: \[ 50^{\circ} \text{ and } 98^{\circ} \]

We can set up the equation: \[ 50^{\circ} + 98^{\circ} + \text{third angle} = 180^{\circ} \]

First, add the measures of the given angles: \[ 50^{\circ} + 98^{\circ} = 148^{\circ} \]

Next, subtract this sum from \(180^{\circ}\) to find the measure of the third angle: \[ 180^{\circ} - 148^{\circ} = 32^{\circ} \]

Therefore, the measure of the third angle is: \[ 32^{\circ} \]

The measure of the third angle is \(32^{\circ}\).

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