This is the last question of my quiz, I need help with it. I need just one question answered.

Question

This is the last question of my quiz, I need help with it. I need just one question answered.

Question: The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.

The triangles' value is 70 degrees.

Isosceles triangles measure around 90 and below, just like acute angles. So, I got my answer by finding the complement of the equation by subtracting 90-70, or 70-90. The complement of the triangle is 20 degrees, so x=20.

Thank you in Advance to whoever answers my question. :)

Answer 1

If 70° is one of the two congruent angles, then the other two angles are 70° and 180-(70+70)=30°

If 70° is the vertex angle, then the other two angles are both (180-70)/2 = 55°

Nothing has been said here about right angles.

Answer 2

To find the value of x in the triangle, we need to apply the fact that the angles opposite the congruent sides of an isosceles triangle are congruent.

Since the value of one of the angles is given as 70 degrees, we can denote it as angle A. Thus, angle A measures 70 degrees.

Using the fact that the angles in a triangle add up to 180 degrees, we can find the measure of the other two angles of the triangle.

Let's denote the other two angles as angle B and angle C. Since the isosceles triangle has two congruent sides, angles B and C are also congruent:

angle B = angle C

Now, let's find the measure of angle B and angle C:

angle A + angle B + angle C = 180 degrees

Substituting the known values:
70 degrees + angle B + angle C = 180 degrees

Since angle B = angle C, we can represent them as x:

70 degrees + x + x = 180 degrees

Simplifying the equation:
70 degrees + 2x = 180 degrees

Subtracting 70 degrees from both sides:
2x = 180 degrees - 70 degrees
2x = 110 degrees

Dividing both sides by 2:
x = 55 degrees

Therefore, the value of x in the triangle is 55 degrees.

Answer 3

To find the value of x in the given isosceles triangle, you can use the fact that the angles opposite the congruent sides of an isosceles triangle are congruent.

Let's denote the measure of one of the congruent angles as x. Since the total measure of the angles in a triangle is 180 degrees, we can set up the equation:

x + x + 70 = 180

Simplifying, we have:

2x + 70 = 180

To isolate the variable, let's subtract 70 from both sides:

2x = 180 - 70

2x = 110

To solve for x, divide both sides of the equation by 2:

x = 110 / 2

x = 55

So, the value of x in the isosceles triangle is 55 degrees.

This is the last question of my quiz, I need help with it. I need just one question answered.

If 70° is one of the two congruent angles, then the other two angles are 70° and 180-(70+70)=30°

Thanks!

To find the value of x in the triangle, we need to apply the fact that the angles opposite the congruent sides of an isosceles triangle are congruent.

To find the value of x in the given isosceles triangle, you can use the fact that the angles opposite the congruent sides of an isosceles triangle are congruent.