pls answer the above question plssssss
Answers
Answer:
45 degree
Step-by-step explanation:
because square all sides angles are 90 so due to diagonal angle is half 45
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