Final answer:
The measure of each of the other two angles in the isosceles triangle is 15° and the measure of the third angle is 60°.
Step-by-step explanation:
The measure of the third angle in an isosceles triangle is = 3x + x+? where x is the measure of each of the other two angles. The sum of the measures of the angles in a triangle is always 180°.
Let's solve for x in terms of the third angle:
- Let x be the measure of each of the other two angles.
- Then, the measure of the third angle is 3x + x+?
- We can write an equation using the sum of the measures of angles in a triangle: 3x + x + (3x + x+?) = 180°
- Combine like terms: 8x + 2x+? = 180°
- Simplify the equation: 10x + 2x+? = 180°
- Combine like terms: 12x+? = 180°
- Solve for x: x = 180°/12
- Simplify: x = 15°//li>
Therefore, the measure of each of the other two angles is 15°.
The measure of the third angle is 3(15°) + 15°+? = 45° + 15° = 60°.
So, in this isosceles triangle, each of the other two angles measures 15° and the third angle measures 60°.
Learn more about Angles in a Triangle