Question

answer fastly pleaseeeeeesse ​

Answer 1

Hey Mate....!!!✨

Answer :-

➤ The value of 'x' is 80°.

Given :-

➤ L1 || L2    

➤ ∠CAB = 35°   [By My Attachment]

➤ ∠ABC = 45°   [By My Attachment]

To Find :-

➤ The value of "∠X"

Solution & Explanation :-

➠ In ∆ABC,

=> ∠CAB + ∠ABC + ∠ACB = 180°  [Angle sum property of Triangle]

=> 35° + 45° + ∠ACB = 180°

=> 80° + ∠ACB = 180°

=> ∠ACB = 180° − 80°

=> ∠ACB = 100°

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➠ As QA and XB intersect each other at C,    [By My Attachment]

=> ∠ACB = ∠XCQ

=> ∠XCQ = 100°

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➠ As L1 || L2,           [Given]

=> ∠XCQ + ∠CXP = 180°    [Angle on the same transversal]

=> 100° + ∠CXP = 180°

=> ∠CXP = 180° − 100°

=> ∠CXP = 80°

=> " x = 80° "

Hope It Helps You.....❤️️