Question

a triangle has two equal sides and two angles food measures are 35 each find the measures of the angle and classify the triangle

Answer 1

To solve this question, follow the steps below.

Step 01: Find the missing angle.

Let A, B and C be the angles of the triangle.

Where

A = 35°

B = 35°

C = x

Knowing that the sum of the interior angles of a triangle is 180°:

`\begin{gathered} A+B+C=180 \\ 35+35+C=180 \\ 70+C=180 \end{gathered}`

To isolate C, subtract 70 from each side of the equation.

`\begin{gathered} 70+C-70=180-70 \\ C=110 \end{gathered}`

So,

A = 35°

B = 35°

C = 110°

Step 02: Classify the triangle according to its sides.

If a triangle has two equal sides, it is called isosceles.

Step 03: Classify the triangle according to its angles.

If a triangle has an angle greater than 90°, it is called obtuse.

Answer: Isosceles and Obtuse.