it is given that angle XYZ IS equal to 64 degree and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects angle ZYP find angle XYQ and reflex angle QYP
Answers
Answered by
1
Answer
Step-by-step explanation:
ANGLE XYQ IS 32
AND REFLECT ANGLE OF QYP IS 148
Answered by
1
Question :-
It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.
Answer :-
i.e : XYP is a straight line.
∴ ∠XYZ + ∠ZYQ + ∠QYP = 180°
⇒ 64° + ∠ZYQ + ∠QYP = 180°
[∵ ∠XYZ = 64° (given)]
⇒ 64° + 2∠QYP = 180°
[YQ bisects ∠ZYP so, ∠QYP = ∠ZYQ]
⇒ 2∠QYP = 180° – 64° = 116°
⇒ ∠QYP = 116°/2 = 58°
∴ Reflex ∠QYP = 360° – 58° = 302°
Since ∠XYQ = ∠XYZ + ∠ZYQ
⇒ ∠XYQ = 64° + ∠QYP [∵∠XYZ = 64°(Given) and ∠ZYQ = ∠QYP]
⇒ ∠XYQ = 64° + 58° = 122° [∠QYP = 58°]
Thus, ∠XYQ = 122° and reflex ∠QYP = 302°.
Plz mrk as brainliest ❤
Similar questions
Social Sciences,
4 months ago
English,
4 months ago
Math,
4 months ago
English,
10 months ago
Math,
1 year ago