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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

Respuesta :

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°

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