Question

The three angles of a triangle have measures of 56°, (2 + 4)° and x°. What are the measures of the three angles of the triangle?

Answer 1

Step-by-step explanation:

Given that: The three angles of a triangle are 56°, (2 + 4)° and x°.

56°+(2+4)°+x° = 90° (Because the sum of the all the angles of a triangle is equal to 80°)

56°+6°+x° = 90°

62°+x° = 90°

x = 90°-62°

x = 28°

Therefore the three angles of a triangle are 56°,6° and 28°.

I hope it helps you.

Answer 2

By angle sum property,

56°+ (2 + 4)° + x°=180°

56°+ (2 + 4)° + x°=180°⇒x°= (180 - 62)°

⇒x°=118°

Hence, the measures of the three angles of the triangle are:

56°, (2+4)°, x°

ie,

56°, 6°, 118°