Question

An isoceles triangle has two congruent angles, both of whitch is 35 degrees larger then the third angle To the nearest degree what is the measure of the third angle write equation ?

Answer 1

To find the third angle of an isosceles triangle when the two congruent angles are each 35 degrees larger than the third angle, we set up an equation based on the sum of the angles in a triangle being 180 degrees. Solving this equation gives us a measurement of approximately 36.67 degrees, which rounds to 37 degrees for the third angle.

Step-by-step explanation:

The question asks us to find the measure of the third angle in an isosceles triangle when the two congruent angles are each 35 degrees larger than the third angle. To find this, we must recall that the sum of angles in any triangle is 180 degrees. Let's denote the measure of the third angle as x degrees. Then the measures of the two congruent angles would be (x + 35) degrees each. Using the fact that the sum of angles in a triangle is 180 degrees, we can set up the following equation:

x + (x + 35) + (x + 35) = 180

Combining like terms we get:

3x + 70 = 180

Subtracting 70 from both sides:

3x = 110

Dividing both sides by 3

x = ≈36.67

To the nearest degree, the third angle measures 37 degrees.