Question

Find the values of the unknowns x and y in the following diagram.

Answer 1

Answer:

$x + 150 = 180$

$x = 180 - 150$

$x = 30$

$x + y = 150$

$30 + y = 150$

$y = 150 - 30$

$y = 120$

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Answer 2

Answer:

Question

find the value of x and y in the following figure

$\bold \pink{ \underline{important \: property}}$

✿ since the two sides are equal then corresponding angles will be equal to. [isosceles triangle property]

✿ the sum of two interior angle is equal to the exterior angle of the third side

[exterior angle property]

✿ sum of all angles in the triangle is 180°. [ angle sum property]

Solution

angle x + angle y= 150°. [ given]

150°+ angle z= 180° [ angel sum Property]

angle z= 180- 150

angle z= 30°

angle z= angle angle y [ exterior angle property]

angle y= 30°

put the value of angle y in x + angle y= 150°

30+ angle x= 150

angle x= 150 - 30°

angle x= 120°

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