there is a triangular metal structure as shown forming an isosceles triangle if the unequal angle measures 30 what is the
Question
There is a triangular metal structure as shown forming an isosceles triangle. If the unequal angle measures 30, what is the measurement of the equal angles?
114
likes
572 views
Answer to a math question There is a triangular metal structure as shown forming an isosceles triangle. If the unequal angle measures 30, what is the measurement of the equal angles?
1. In an isosceles triangle, two sides and the angles opposite them are equal.
2. The sum of angles in any triangle is 180^\circ .
3. Let the measure of the equal angles be x .
4. The equation is 2x + 30 = 180 .
5. Solve for x :
2x = 150 \\ x = \frac{150}{2} = 75 .
6. The measurement of the equal angles is 75^\circ .
Frequently asked questions (FAQs)
What is the length of the perpendicular bisector of side AB in triangle ABC?
+
What is the sine of angle 𝜃 if the opposite side is 5 and the hypotenuse is 13?
+
What is the measure of an angle bisected by a line that intersects the angle into two congruent angles?