Question

Solve for x and find the value of the unknown angle measures.

1. x=
2. m=
3. n=
4. p=

Answer 1

x=20°

m=50°

n=68°

p=50°

Explanation:

Here,we know that,

i)n=68°[being vertically opposite angle]

ii)p+62°+n=180°[being straight angle]

or, p+62°+68°=180°

or, p+130°=180°

or, p=180°-130°

thus, p=50°

iii) m=p[being vertically opposite angle]

thus, m=50°

iv)(2+3x)°=62°[being vertically opposite angle]

or, 3x°=62°-2°

or, 3x°=60°

or, x=60°÷3°

thus, x=20°

Hence, the value of x=20°, m=50°, n=68° and p=50°.