Two of the angles in a triangle measure 90° and 24°. What is the measure of the third angle?
0°
Submit
Two of the angles in a triangle measure 90° and 24°. What is the measure of the third angle?
2 Answers
Verified archiveIn a triangle, the sum of all three angles is always 180°.
You’ve been given two angles: 90° and 24°. To find the third angle, you can use the formula:
Third angle = 180° – (Angle 1 + Angle 2)
Substituting the values:
Third angle = 180° – (90° + 24°)
Third angle = 180° – 114°
Third angle = 66°
So, the measure of the third angle is 66°. If you need further assistance, feel free to ask!
To find the measure of the third angle in a triangle, we can use the fact that the sum of all angles in a triangle is always 180°.
Given:
– First angle = 90°
– Second angle = 24°
We can find the third angle (let’s call it ( x )) using the equation:
[ 90° + 24° + x = 180° ]
Now, add the first two angles:
[ 90° + 24° = 114° ]
Next, subtract this sum from 180° to find ( x ):
[ x = 180° – 114° = 66° ]
Thus, the measure of the third angle is 66°. If you have more questions, feel free to ask!