Question

Describe how you would find the third angle measure in a triangle knowing that one angle measures 63 degrees and the the other measures 48. Then tell e what the missing angle measure must be.

Answer 1

The calculated measure of the third angle is 69 degrees

How to determine the measure of the third angle

The sum of the interior angles in a triangle is always 180 degrees.

To find the measure of the third angle in a triangle when two angles are known, you can subtract the sum of the given angles from 180.

Let's represent the three angles in the triangle as A,B, and C.

We are given that one angle measures 63 degrees

A = 63∘

And another angle measures 48 degrees

B = 48∘

To calculate C, we have

C = 180 − (A + B)

Substitute the given values:

C = 180 − (63 + 48)

Evaluate

C = 69

Hence, the measure of the missing angle is 69 degrees

Answer 2

the missing angle is
`c=69`° .

Explanation:

Here we have , a triangle knowing that one angle measures 63 degrees and the the other measures 48. We need to tell e what the missing angle measure must be. Let;s find out :

We know that , by the property of triangle : Sum of all the three angles of a triangle is always 180° . Let angles of triangle be a,b,c :

⇒
`a+b+c=180`

In question we have following parameters as :

`a=63\\b=48\\c=?`

Putting these value in
`a+b+c=180` we get :

⇒
`a+b+c=180`

⇒
`63+48+c=180`

⇒
`111+c=180`

⇒
`c=180-111`

⇒
`c=69`°

Therefore , the missing angle is
`c=69`° .