I need help solving this question with explaining please ANSWER ASAP!!!!!!!!!

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

x = 85 degrees and

y = 45 degrees.

Step-by-step explanation:

Step 1:

The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.

The angles of x° and 95° are on a single straight line.

So $x^{\circ} + 95^{\circ} = 180^{\circ}.$

$x^{\circ} = 180^{\circ} - 95^{\circ} = 85^{\circ} .$

So the angle of x is 85°.

Step 2:

The sum of the angles in a triangle is 180°.

So $50^{\circ} + x^{\circ} + y^{\circ} =180^{\circ}.$

$50^{\circ} + 85^{\circ} + y^{\circ} =180^{\circ}.$

$y^{\circ} =180^{\circ} - 135^{\circ}, y = 45 ^{\circ}.$

So the angle of y is 45°.

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