Question

Help me guys pls ❤️❤️

Answer 1

Answer:

Part 1) ∠b=101°

Part 2) ∠m=50°

Part 3) ∠h=79°

Part 4) ∠g=101°

Part 5) ∠i=51°

Part 6) ∠j=130°

Step-by-step 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

Answer

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.