Question

In the figure, Δ ABC is right angled at B, DE || BC
and angle CDE = 125°. Find angle ACB, angleADE, angleAED
and angleBAC.​

Answer 1

Step-by-step explanation:

ΔABC is a right-angled triangle , where ADE is a minor triangle . ( Given )

ΔADE is a right-angled triangle . ( ∵ DE || BC )

So , ∠AED = 90°

∠CDE = 125° , which is the exterior angle of ΔADE . ( Figure )

So , ∠ADE = 55° ( Linear pair )

Measurement of ∠A = 35° ( Angle sum property )

∠B = 90° ( Given )

So , ∠C = 55° ( Corresponding to ∠D )

∴ ∠ACB = 55°

∠ADE = 55°

∠AED = 90°

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