Question

Which answer choices give enough information to determine all three angle measures of an isosceles triangle? Select two that apply. a triangle with an angle of 90∘ a triangle with an acute angle a triangle with an obtuse angle a triangle with an obtuse angle of 124∘ a triangle with an angle of 35∘ a triangle with an angle of 55∘ No matter what combo, it says im wrong

Answer 1

To determine all three angle measures of an isosceles triangle, we need at least two angle measures. A triangle with an angle of 90 degrees and a triangle with an obtuse angle of 124 degrees provide enough information to determine all three angle measures of an isosceles triangle.

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. To determine all three angle measures of an isosceles triangle, we need at least two angle measures.

A triangle with an angle of 90 degrees and a triangle with an obtuse angle of 124 degrees provide enough information to determine all three angle measures of an isosceles triangle.

Answer 2

We can determine all the 3 angle measures for the below isosceles triangles:

a. One angle is 90°

d. A triangle with an obtuse angle of 124°

Step-by-step explanation:

Step 1:

The sum of the three angles of a triangle is always 180°.

An obtuse angle is greater than 90°. This implies that utmost only one angle in a triangle can be obtuse.

In an isosceles triangle two angles are the same.

Step 2:

Let us examine each option using the above points

a. One angle is 90°. The sum of other two angles should be 90° and also equal. So the 3 angles are 90°, 45 ° and 45 °

b. A triangle with an acute angle - We cannot find the exact value of angles

c. A triangle with an obtuse angle - We cannot find the exact value of angles

d. A triangle with an obtuse angle of 124°. The sum of the the other two angles should be 180° - 124° = 56° and they should be equal. So the 3 angles are 124°, 28 ° and 28 °

e. A triangle with an angle of 35° . We can have 2 possibilities 35° , 35° and 110° or 35° ,72.5° and 72.5°. We cannot find the exact value of angles.

f. A triangle with an angle of 55° - We can have 2 possibilities 55° , 55° and 70° or 55° ,62.5° and 62.5°. We cannot find the exact value of angles

Step 3 :

Answer:

We can determine all the 3 angle measures for the below isosceles triangles:

One angle is 90°

A triangle with an obtuse angle of 124°