find the degree measure of each angle

Question

anonymous · Answer

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nubeer · Answer

it's an isocles triangle.. . you have to put those given angles equal to each other.

anonymous · Answer

If the triangle is isosceles then the two given angles must be equal, i.e.:

$$\bf 5x-23=4x-8$$Solve for x and then plug it back in to the equations to solve for the two angles. Since this is an isosceles triangle, you can then just subtract the sum of the two angles from 180 to solve for the last angle.

@ashleynicolee

anonymous · Answer

Since those two sides are congruent, the angles 4x -8 and 5x - 23 are equal to each other.   4x - 8 = 5x - 23  Once you solve for x (which is -15), you have to plug it back into those expressions. 4(15) - 8 = 60 -8 = 52. So, the two bottom angles are 52 degrees.

There are 180 degrees in a triangle. Since we know there two 52 degree angles, we can multiply 52 by 2 = 104. 104 degrees is the sum of ever angle except the top angle. That means that the measure of this angle is 180 - 104 = 76 degrees.

anonymous · Answer

x=15

anonymous · Answer

Exactly, now plug that x value back in to the equations to solve for the two angles that we were given.

After you get the value for both angles, subtract their sum from 180 to get the measure of the last remaining angle U.

@ashleynicolee