Question

Help me guys pls ❤️❤️

Determine the angle measure of the following angles ?

1) b =
2) m=
3) h=
4) g=
5) i=
6) j=

Answer 1

Part 1) ∠b=101°

Part 2) ∠m=50°

Part 3) ∠h=79°

Part 4) ∠g=101°

Part 5) ∠i=51°

Part 6) ∠j=130°

Explanation:

Part 1) ∠b

we know that

∠b=101° ------> by corresponding angles

Part 2) ∠m

we know that

∠m=∠k ------> by corresponding angles

and

∠k+130°=180° -----> by supplementary angles

∠k=180°-130°=50°

therefore

∠m=50°

Part 3) ∠h

we know that

∠h+101°=180° -----> by supplementary angles

∠h=180°-101°=79°

Part 4) ∠g

we know that

∠g=101° -----> by vertical angles

Part 5) ∠i

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

so

∠h+∠m+∠i=180°

substitute the values and solve for ∠i

79°+50°+∠i=180°

∠i=180°-129°=51°

Part 6) ∠j

we know that

∠j=130° -----> by vertical angles

Answer 2

1)
`b=101\degree`

2)
`m=50\degree`

3)
`h=79\degree`

4)
`g=101\degree`

5)
`i=51\degree`

6)
`j=130\degree`

Explanation

From the diagram,

`b=101\degree`, corresponding angles are equal.

From the diagram, m=k, corresponding angles are equal.

But k+130=180, angles on a straight line sum up to 180 degrees.

This implies that k=180-130=50

`\therefore m=50\degree`

From the diagram ;
`h+101=180\degree`,angles on a straight line sum up to 180 degrees.

`\implies h=180-101\degree`

`\implies h=79\degree`

From the diagram,
`g=101\degree` vertically opposite angles are equal.

From the triangular portion;

i+h+m=180. sum of interior angles of a triangle.

This implies that:

i+79+50=180

i+129=180

i=180-129

`i=51\degree`

Finally

`j=130\degree`, vertically opposite angles are equal.