Question

Please write and solve and equations to find the missing measure. Also show your work pls. Thank You

Answer 1

Hello!

Answer:

`\Large \boxed{\sf n = 35^(\circ)}`

Explanation:

Let n be the angle.

There is a right angle, so it's equal to 90°.

The sum of the angles of a triangle = 180°.

So we have this equation:

`\sf 55+90+n= 180`

Let's solve this equation:

◼ Simplify the left side:

`\sf 145+n= 180`

◼ Subtract 145 from both sides:

`\sf 145+n-145= 180-145`

◼ Simplify both sides:

`\boxed{\sf n = 35}`

Answer 2

n = 35°

Explanation:

Theorem:

The sum of the measures of the interior angles of a triangle is 180°.

n + 90° + 55° = 180°

n + 145° = 180°

n = 35°