TWISTER

Geometry Level 2

GIVEN A TRIANGLE ABC SUCH THAT ANGLE B IS DOUBLE OF ANGLE C , PROVIDED D IS POINT ON BC SUCH THAT AD IS THE BISECTOR OF ANGLE A . ALSO DC =AB , THEN FIND THE VALUE OF ANGLE A


The answer is 72.

Mohammad Sabih by mohammad sabih , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Saud Ahmad Khan
Dec 26, 2014

Here is how i did this! As AB=DC then Angle C is equal to Half of Angle A (As obvious from the figure)

Angle C= x then Angle A = 2x

And Angle B = 2x (Given)

So 2x+2x+x=180 Degrees or 5x=180 Degrees or x=36 Degrees

so Angle A = 2x = 72 Degrees

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Hi Saud,

I have a question; why does AB=DC make Angle C half of angle A?

Just wondering, Thanks

Evan LaRivière - 6 years, 5 months ago

the first statement of your provided solution,make it's wrong. if you think you are correct then prove it.

mohammad sabih - 6 years, 4 months ago

@mohammad sabih An excellent problem! Thank you! I love it! (+1)

Noel Lo - 3 years, 11 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...