Question

In the figure equilateral triangle EBC surmounts square ABCD. Find angle BED represented by x.​

Answer 1

Answer:

45° degrees

Step-by-step explanation:

EC=ED

ANGLE ECB + ANGLE BCD = 150

THIS TRIANGLE IS A ISOLENCE TRIANGLE WHERE TWO ANGLE ARE EQUAL

ANGLE CED = ANGLE CDE

180-150 = ANGLE CED + ANGLE CDE = 30

30÷2 = 15 =ANGLE CED = ANGLE CDE

AS FOR THE EQUALATERAL TRIANGLE EACH ANGLE IS 60. SO..

60-15 (ANGLE CED) = 45 = x

Answer 2

Answer:

REF.Image

△BEC is an equilateral △le

⇒BE=EC=BC

But BC=CD(ABCD is a square)

⇒EC=CD⇒∠CED=∠CDE

In △ECD,∠CED+∠CDE+90+60=180

⇒2∠CED=30⇒∠CED=15°

∠BEC=60°⇒x=60−15

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