geometry

posted by .

In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that:
(i) angle ABD = angle c
(ii) angle CBD = angle A

  • geometry -

    (i) ABD is the complement of A.
    C is also the complement of A
    Therefore ABD = C

    (ii)
    CBD is the complement of C
    A is the complement of C.
    Therefore CBD = A

    It will be easier to see if you draw the figure. B, ADB and BDC are right angles.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    From the vertex A of a right angled triangle ABC, (A being the right angle) AD is drawn perpendicular to BC. How do I prove that the three triangles ABD, ADC, and ABC are similar?
  2. geometry

    obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 of angle CBD is 4 more than angle BAD. Find the measure of angle ABC.
  3. Geometry

    Given: obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 angle BDC and angle CBD is 4 more than angle BAD. What is the measure of angle ABC?
  4. Geometry

    Given: angle ABD is a right angle , angle CBE is a right angle. Prove: angle ABC is congruent angle DBE
  5. math

    In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that: (i) angle ABD = angle c (ii) angle CBD = angle A
  6. Geometry

    Please answer at least one . PLEASE 1. Triangle XYZ has a right angle at Y. V,W are on XZ such that XV=XY. WZ=YZ, find ANGLE VYW . 2. STUVWXYZ is a regular octagon. Find SW/ TZ. 3. The interior angles of a convex polygon form an arithmetic …
  7. Geomentry

    prove the statement Angle ABD is a right angle and Angle CBE is a Right Angle and prove Angle ABC is Congruent to Angle DBE
  8. geometry

    if lineBC biscects angle ABD and angle ABC=5x+11 angle CBD=10x-4 then find x =
  9. Geometry

    Given: angle EBA is congruent to angle CBD, measure of angle ABD is = to 90 degrees. Prove: angle EBA is the complement of the angle ABC. Write a proof.... I have no idea how to proceed...help! Thank you!
  10. Geometry

    line BD bisects angle ABC. Find angle ABD, angle CBD, and angle ABC if angle ABD equals 3x+6 and angle DBC equals 7x-18 please help it would mean a lot

More Similar Questions