Question

What is the value of x in this triangle?

Answer 1

`\huge\boxed{\sf x = 83\°}`

Explanation:

Statement:

• The sum of internal angles of a triangle equals 180 degrees.

Solution:

So,

x + 53 + 44 = 180

x + 97 = 180

• Subtract 180 from both sides

x = 180 - 97

x = 83°

`\rule[225]{225}{2}`

Answer 2

x = 83

Explanation:

You can apply the theory of euclidean triangle: all three measurements of a triangle sum up and equal to 180°.

Therefore, we sum three angles and set to 180°

`\displaystyle{x^(\circ) + 44^(\circ) + 53^(\circ) = 180^(\circ)}\\\\\displaystyle{x^(\circ) + 97^(\circ) = 180^(\circ)}`

Solve for x; subtract both sides by 97°:

`\displaystyle{x^(\circ) + 97^(\circ)-97^(\circ)= 180^(\circ)-97^(\circ)}\\\\\displaystyle{x^(\circ) = 83^(\circ)}`

Therefore, x = 83