QT is perpendicular PR, angle TQR =40 degrees and angle SPR = 30 degrees. Find the values of x and y.
Answers
Answered by
331
Solution:-
In Δ QTR
∠ TQR + ∠ QRT + ∠ QTR = 180°
⇒ 40° + y + 90° = 180°
⇒ y = 180° - 130°
⇒ y = 50°
∠ QSP = ∠ SPR + ∠ SRP
Reason : Exterior angle = sum of interior angles
⇒ x = 30° + y
⇒ x = 30° + 50°
⇒ x = 80°
So, ∠ x = 80° and ∠ y = 50° Answer.
In Δ QTR
∠ TQR + ∠ QRT + ∠ QTR = 180°
⇒ 40° + y + 90° = 180°
⇒ y = 180° - 130°
⇒ y = 50°
∠ QSP = ∠ SPR + ∠ SRP
Reason : Exterior angle = sum of interior angles
⇒ x = 30° + y
⇒ x = 30° + 50°
⇒ x = 80°
So, ∠ x = 80° and ∠ y = 50° Answer.
Attachments:
Answered by
88
it is the answer may It help you
Attachments:
Similar questions