Question

from the adjoining figure find X+y+z​

Answer 1

Answer:

Hi there mate!!!

let me help you,

see, in the following figure, we can easily take out angle X and Y. the answer is as follows:-

X+90°=180°(linear pair)

X=180°-90°

X=90°

Y+70°=180°(linear pair)

Y=180°-70°

Y=110°

now to find angle Z, we will use EXTERIOR ANGLE PROPERTY OF TRIANGLES which states that:-

the exterior angle of a triangle is equal to the sum of its opposite interior angles of the triangle.

:. by using exterior angle property:-

X=70°+90°

X=160°

for confirmation, use angle sum property of triangle but first take out the third interior triangle.

Now if you have to find X+Y+Z:-

90°+110°+160°

360°

Therefore the answer of your question is 360°

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