Hurry answer fast
In the given figure angle UZW =45 DEGREES AND ANGLE XZW=75 DEGREES..
FIND ANGLE p, ANGLE q, AND ANGLE r
Answers
The value of angle p is 75°, angle q is 45° and angle r is 60° as per the figure given.
Given:
∠UZW = 45°, ∠XZW = 75°, WZU = 45°.
To find:
All the angles p, q, and r need to be determined.
Solution:
As the ∠XZY, ∠XZW, and ∠WZU are the angles in a straight line.
So, the sum of all the angles which are in the same straight line is 180° because the angle of a straight line is 180°.
As per the figure given ∠XZY = r, ∠XZW = 75°, and ∠WZU = 45°.
∠XZY + ∠XZW + ∠WZU = 180°.
⇒ ∠r + ∠75° + ∠45° = 180°.
⇒ ∠r = 180° - 120°
⇒ ∠r = 60°.
As XY is parallel to WZ.
∠p = ∠XZW (∵ Alternate interior angles)
∴ ∠p = 75°.
The sum of all the angles of a triangle is equal to 180°.
∴ ∠p + ∠q + ∠r = 180°.
⇒ 75° + ∠q + 60° = 180°.
⇒ ∠q = 180° - 135°
⇒ ∠q = 45°
Therefore, from the given figure the angle p is 75°, angle q is 45° and angle r is 60°.
To learn more about the triangle visit:
https://brainly.in/question/54092128?referrer=searchResults
https://brainly.in/question/54231692?referrer=searchResults
#SPJ1