Question

find the value of the unknown x and y in the following diagram. ​

Answer 1

x = 40°

y = 140°

Step-by-step explanation:

GIVEN ANGLES

65°

75°

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TO FIND

x , y

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Let's take w = 65° , z = 75°

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x

We know that,

Measure of all interior angles of a triangle is 180°

Therefore,

w + x + z = 180° [ Interior Angles ]

65° + x + 75° = 180°

x + 140° = 180°

x = 180 - 140

x = 40

x = 40°

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y

We know that,

Measure of linear pairs are 180°

x + y = 180° [ Linear Pair ]

40° + y = 180°

y = 180 - 40

y = 140

y = 140°

Answer 2

Step-by-step explanation:

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.: sum of three angles in a triangle = 180°

.: 65°+75°+y° = 180°

140°+y° = 180°

y° = 180°-140°

.: y° = 40°

as y and x are adjacent angles sum of x and y = 180°

x°+y° = 180°

x°+40° = 180°

x° = 180°-40°

.: x° = 140°