Math, asked by palak7624, 7 months ago

Guys plz solve this fast plz plz help me to solve this I need it urgently

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Answers

Answered by Anonymous

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Given

l || m

∠PQR = 45°

∠PRQ = 55°

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To Find

Value of a, b and c

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Concept used

Angle Sum Property - Angle sum property of triangle states that the sum of interior angles of a triangle i.e. 180°

Alternate Interior Angle - Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

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Solution

∠PQR + ∠PRQ + ∠QPR = 180° [ Angle Sum Property ]

➞ 45° + 55° + b = 180°

➞ 100° + b = 180°

➞ b = 180° - 100°

➞ b = 80°

∠PQR = a = 45° [ Alternate Interior Angles]

∠PRQ = c = 55° [ Alternate Interior Angles]

So, value of a = 45°, b = 80° and c = 55°.

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Verification

∠a + ∠b + ∠c = 180° [ Straight angle ]

45° + 80° + 55° = 180°

180° = 180°

L.H.S = R.H.S

Hence, verified✔

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Answered by Anonymous

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$\huge\purple{♡}\pink {Answer}\purple {♡}$

Given

l || m
∠PQR = 45°
∠PRQ = 55°

⠀⠀⠀⠀⠀⠀

To Find

Value of a, b and c

⠀⠀⠀⠀⠀⠀

Concept used

Angle Sum Property - Angle sum property of triangle states that the sum of interior angles of a triangle i.e. 180°

Alternate Interior Angle - Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

⠀⠀⠀⠀⠀⠀

Solution

➞∠PQR + ∠PRQ + ∠QPR = 180° [ Angle Sum Property ]

➞ 45° + 55° + b = 180°

➞ 100° + b = 180°

➞ b = 180° - 100°

➞ b = 80°

∠PQR = a = 45° [ Alternate Interior Angles]

∠PRQ = c = 55° [ Alternate Interior Angles]

So, value of a = 45°, b = 80° and c = 55°.

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Verification

∠a + ∠b + ∠c = 180° [ Straight angle ]

45° + 80° + 55° = 180°

180° = 180°

L.H.S = R.H.S

Hence, verified✔

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