Question

HW 2: Angles of Triangles

Find the missing angle:
1
Measure of Angle 1 =
67
62

Answer 1

Hi there, to answer this problem we will first need to identify the third missing angle inside the triangle. Triangles add to 180 degrees, therefore we can add the two provided sides: 62+67= 129. To find the third angle, we can subtract 129 from 180 and end with 51. This is the measurement of the third angle inside the triangle. Now we can take this number and subtract it from 180, because the value you are looking for is located on a straight 180 degree line which forms one side of the triangle. The answer to your questions is: the measure of angle 1 is 51 degrees. Hope this helps!!

Answer 2

The measure of missing angle is 51 degrees

To find the missing angle in a triangle, you can follow these steps:

1. Understand the Angle Sum Property: The sum of the interior angles in any triangle is always 180 degrees.

2. Identify the Known Angles: From the image, we have two angles given, 62 degrees and 67 degrees.

3. Use the Angle Sum Property: Subtract the sum of the known angles from 180 degrees to find the missing angle.

So, the calculation will be:

`\[ \text{Angle 1} = 180 - (62 + 67) \]`

Let's do the calculation.

The measure of Angle 1 in the triangle is 51 degrees. Here's how it was determined:

1. The sum of the interior angles of any triangle is 180 degrees.

2. The two given angles are 62 degrees and 67 degrees.

3. Subtracting the sum of these angles from 180 degrees gives the measure of the missing angle:

180 - (62 + 67) = 51 degrees.