Question

Some help here would be amazing

Answer 1

10. 127°

11. 37°

Explanation:

We have two perpendicular angles and two diagonal angles.

The horizontal one, we will mark A.

The vertical one, we will mark B.

The lower diagonal, we will mark C.

The upper diagonal, we will mark D.

We can see that the diagonals are parallel.

Angle ∠ACat3* has an angle of 53°.

*There are two angles on AC. The "at3" part means that the angle is located at the mark of three.

Since line C is straight, the two angles that are split by line A will be supplementary*.

*Meaning that the angles will add up to 180°.

180 - 53 = 127

Angle ∠ACat3 has an angle of 127°.

So, for ten, 127° is your answer.

Now for eleven.

We know that A and B intersect, and make 90° angles. Let's flip this to the other side of A and B.

Angle ∠AB affects 4 and 5. This means that the angle of 4 plus the angle of 5 will be complementary*.

*Meaning that the angles will add up to 90°

Since we know that C and D are parallel, and that the bottom side is 53°, and that the angles will be complementary, we can subtract 53 from 90 to get our answer.

90 - 53 = 37

Angle ∠ACatBat4 has an angle of 37°.

So, for eleven, 37° is your answer.

Hope this helps. Have a nice day.

Answer 2

∠ 3 = 127°, ∠ 4 = 37°

Explanation:

53° and ∠ 3 are adjacent angles and are supplementary, sum to 180°, so

∠ 3 + 53° = 180° ( subtract 53° from both sides )

∠ 3 = 127°

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∠ 5 and 53° are corresponding angles and are congruent, so

∠ 5 = 53°

∠ 5, ∠ 4 and 90° lie on a straight line and sum to 180° , that is

53° + ∠ 4 + 90° = 180°

∠ 4 + 123° = 180° ( subtract 123° from both sides )

∠ 4 = 37°