Question

If LDH=(2/3x-7), HDF=12 degrees and LDF= (1/3x+32) what is the value of x?

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x = 143}`

Explanation:

→ We want to find the value of x in this triangle.

→ We know that in a triangle, the sum of the angles is equal to 180°.

→ So we have this equation:

`\sf (2)/(3)x-7 + 12 +(1)/(3)x +32 = 180`

→ Let's solve this equation to find the value of x in the triangle:

◼ Simplify the left side:

`\sf (2x)/(3) +(x)/(3) +37 = 180`

`\sf (3x)/(3) +37 = 180`

`\sf x +37 = 180`

◼ Subtract 37 from both sides:

`\sf x +37-37 = 180-37`

◼ Simplify both sides:

`\boxed{\sf x = 143}`

Conclusion:

In this triangle, x is equal to 143.