Question

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Answer this Question

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ItzRiya✌️​

Answer 1

From image we have :-

➪ ∠BAD = 60°

➪ ∠ADC = 80°

➪ ∠BCD = 120°

ᴄᴏɴᴄᴇᴘᴛ ᴜsᴇᴅ :-

• Sum of the measures of interior angles of a Quadrilateral is 360°.
• The measure of a straight angle is 180°, so a linear pair of angles must add up to 180°..

Sᴏʟᴜᴛɪᴏɴ :-

Since all interior angles of Quad. ABCD = 360° .

➻ ∠BAD + ∠ADC + ∠BCD + ∠ABC = 360°

➻ 60° + 80° + 120° + ∠ABC = 360°

➻ 260° + ∠ABC = 360°

➻ ∠ABC = 360° - 260°

➻ ∠ABC = 100° .

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Now,

➺ ∠x + ∠BCD = 180° (Linear Pair.)

➺ ∠x + 120° = 180°

➺ ∠x = 180° - 120°

➺ ∠x = 60° .

Similarly,

➺ ∠y + ∠ADC = 180° (Linear Pair.)

➺ ∠y + 80° = 180°

➺ ∠y = 180° - 80°

➺ ∠y = 100° .

Also,

➺ ∠z + ∠BAD = 180° (Linear Pair.)

➺ ∠z + 60° = 180°

➺ ∠z = 180° - 60°

➺ ∠z = 120° .

And,

➺ ∠w + ∠ABC = 180° (Linear Pair.)

➺ ∠w + 100° = 180°

➺ ∠w = 180° - 100°

➺ ∠w = 80° .

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Therefore ,

☞ ∠x + ∠y + ∠z + ∠w = 60° + 100° + 120° + 80°

☞ ∠x + ∠y + ∠z + ∠w = 360° (Ans.)

Hence, ∠x + ∠y + ∠z + ∠w is Equal to 360°.

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Shortcut :-

• When the sides of a Quadrilaterals are extended and the exterior angles are produced. The sum of four exterior angle is always 360°.

Therefore, we can conclude that ,

☛ ∠x + ∠y + ∠z + ∠w = 360° (Ans.)

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Answer 2

Step-by-step explanation:

here x=180-130=60

y=180-80=100

z=180-60=120

w=180-(360-60+80+120)

180-(100)

80

therefore....

X+Y+Z+W=60+100+120+80=360

dear friend

I get the "genius "rank

and answers 800+in maths so

how can I be a maths aryabhata in brainly...

Please tell me clearly....