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2 years ago

Find the values of x and y in the diagram below. 86° (4x - 7)° (7y - 1) (9x + 4)

Mathematics

1 answer:

Aneli [31]2 years ago

8 0

The value of x in the diagram is 15° and the value of y is 6°

Please find attached the diagram used in answering this question

The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees

The first step is to determine the value of x.

The value of x can be determined using the exterior angle.

The sum of the two interior opposite angles in a triangle is equal to the external angle

(4x - 7)° + 86° = (9x + 4)°

Combine similar terms

9x - 4x = 86 - 7 - 4

5x = 75

x = 15°

To determine the value of y, first substitute for the value of x in the angle (4x - 7)°

(4x - 7)° = (4x15) - 7 = 53°

The sum of angles in a triangle add up to 180°

53° + 86 + (7y - 1) = 180°

add like terms

138 + 7y = 180

7y = 42

y = 6°

To learn more, please check: brainly.com/question/23688688?referrer=searchResults

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