Math, asked by winchestershannah, 23 hours ago

pls answer the above question plssssss​

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Answers

Answered by yousufali793
0

Answer:

45 degree

Step-by-step explanation:

because square all sides angles are 90 so due to diagonal angle is half 45

Answered by bhatigaur25
1

Answer:

45°

Step-by-step explanation:

In a square all angles are of 90° that is they are right angles.

In a square, diagonal bisects the angles ------ 1

So, 90°/2 = 45° = angle(DCA) = angle(BCA) = angle(BAC) = angle(DAC)

We can also prove statement 1 =>

In a square ABCD ->

All sides are equal

AB=BC=CD=AD --------- 2

In triangle ABC, ADC ->

CD=AB (from2)

AD=BC (from2)

AC=AC (common)

Hense by SSS congruence ->

triangle(ABC) is congruent to triangle(ADC)

In congruent triangles corresponding angles are equal ---------- 3

From 3 ->

angle(BCA) = angle(DCA) = x

Angel(BCD) = angle(BCA) + angle(DCA)

90°= angle(BCA) + angle(DCA)

90° = x+x

90° = 2x

x = 90°/2 = 45° = angle(BCA) = angle(DCA) .Ans

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