Question

50 points pls solve

Answer 1

Explanation:

remember, the sum of all angles inside a triangle is always 180°.

also, the sum of all angles a round a single point on one side of a line is 180° (the line is like the diameter of a circle with the point being the center of the circle; then one side of the line is representing a half-circle, which represents 180°).

so, we know

180 = 90 + 53 + angle TVU

angle TVU = 180 - 90 - 53 = 37°

and we know

angle TVU + angle WVT = 180°

37° + angle WVT = 180°

angle WVT = 180 - 37 = 143°

Answer 2

m∠ WVT = 143° and m∠ TVU = 37°

Explanation:

Since the sum of the interior angle of a triangle is 180°.

So,

m∠ TVU + m∠ TUV + m∠ UTV = 180°

Substitute given values:

m∠ TVU + 90° + 53° = 180°

m∠ TVU + 143° = 180°

Subtract 143° on both sides.

m∠ TVU + 143° - 143° = 180° - 143°

m∠ TVU = 37°

And

The pair angle of linear pair is also supplementary.

So,

m∠ TVU + m∠ WVT= 180°

Substitute known values:

37° + m∠ WVT= 180°

Subtract 37° on both sides.

37° + m∠ WVT - 37° = 180° - 37°

m∠ WVT = 143°

Therefore, answer is:

m∠ WVT = 143° and m∠ TVU = 37°