Math, asked by Ritu124103, 1 year ago

find the value of angle of x

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anshgupta203pepu50: 135°

Ritu124103: yes

Ritu124103: but tell me how

Ritu124103: i am not able to understand the logic

anshgupta203pepu50: see triangle XUY is isosceles, so its both unknown angle will be 45°

anshgupta203pepu50: then using exterior angle property of triangle angle(x)= Angle(X)+angle(U)=90°+45°

anshgupta203pepu50: which is 135°

Ritu124103: thank u

Answers

Answered by AdiN05517

Hi friend!

$<big><marquee direction="right" behavior="alternate"><big>Answer:</big></marquee></big>$

$The answer is 135°.$

Since, ∆XYU is an isosceles triangle and X = 90°, other two angles are equal.
We know that the three angles add up to 180° because it is a triangle. So the sum of the measure of other two angles would be 180° - 90° = 90°

Since, the other two angles are equal, their measure will be 90° ÷ 2 = 45°

Now, for your question:
Since angles XYU and WYU form a linear pair, angle $WYU = x = 180° - XYU$
$x = 180° - 45° \\ x = 135°$

Hope you found my answer helpful. Keep Smiling!

Ritu124103: hi

Ritu124103: i have 2 questions

Ritu124103: will you answer me

anshgupta203pepu50: yeah ask?

Ritu124103: i cannot get the option of brainleist on your answer

Ritu124103: how u make answer moving

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