plsss some1 solve this it's very imp. I've a test today nd m not able to solve anything.so plsss
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The given quadrilateral is a cyclic quadrilateral as all its four vertices lie on the circle.
We know that in a cyclic quadrilateral, opposite sides are supplementary(sum of angles=180).
Therefore, <ABC=50°
Now, consider the two triangles.
given, BC=BE.
both are right triangles with an angle of 90°.
The triangles have a common side.
Hence, by RHS congruency criterion,
the triangles are congruent.
therefore, <ABC=<ABE.=50°
Hence, <ABC+<ABE=100°.
Hope this helps you......
We know that in a cyclic quadrilateral, opposite sides are supplementary(sum of angles=180).
Therefore, <ABC=50°
Now, consider the two triangles.
given, BC=BE.
both are right triangles with an angle of 90°.
The triangles have a common side.
Hence, by RHS congruency criterion,
the triangles are congruent.
therefore, <ABC=<ABE.=50°
Hence, <ABC+<ABE=100°.
Hope this helps you......
SairaYoung222:
mark brainliest if it helped you.....
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hey there !!
=) ABCD is a cyclic quadrilateral so we know that from property of cyclic quadrilateral ..
=) /_ADC +/_CBA= 180°
=) 130° +/_CBA = 180°
=) /_CBA = 180 -130 = 50°
Here , given that CB = BE
=) we know that opposite side of ∆ are equal in isosceles ∆
◆from property of isosceles ∆
=) /_CBA = /_ABE = 50°
so /_ CBE = /_CBA + /_ABE
= 50 + 50 = 100°
* ,* /_ CBE = 100 ° ans//
__________________________________________
Hope it will help u
=) ABCD is a cyclic quadrilateral so we know that from property of cyclic quadrilateral ..
=) /_ADC +/_CBA= 180°
=) 130° +/_CBA = 180°
=) /_CBA = 180 -130 = 50°
Here , given that CB = BE
=) we know that opposite side of ∆ are equal in isosceles ∆
◆from property of isosceles ∆
=) /_CBA = /_ABE = 50°
so /_ CBE = /_CBA + /_ABE
= 50 + 50 = 100°
* ,* /_ CBE = 100 ° ans//
__________________________________________
Hope it will help u
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