Question

One angle of an isosceles triangle measures 112°. What measures are possible for the

Answer 1

Answer:

34°

Step-by-step explanation:

A triangle measures 180°

An isosceles triangle has two angles and sides with equal measurements.

We know that one angle is 112°. Thus, we can use that to form an equation to solve for the unknown values:

112° + x + x = 180°

112° + 2x = 180°

2x = 68

x = 34°

The other two angles each measure 34°.

Check:

112 + 34 + 34 = 180

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Answer 2

Answer:

34°

Step-by-step explanation:

Sum of interior angles of a triangle is 180°

Two of the interior angles of an Isosceles triangle are equal

Given one of the interior angles is 112° then the remaining two angle must be equal:

⇒ 112 + 2x = 180

⇒ 2x = 68

⇒ x = 34°