In the following figure. ∆OBA ~ ∆ODC, ∠BOC = 125° and ∠CDO = – InterviewSolution

1.

In the following figure. ∆OBA ~ ∆ODC, ∠BOC = 125° and ∠CDO = 70°. Find ∠DOC, ∠DCO and ∠OAB.

Answer»

∆OBA ~ ∆ODC (data)

In ∆OBA and ∆ODC, we have

∠ODC = ∠OBA = 70° (. Alternate angle)

∠AOB = 180°- 125° = 55° ( Adjacent angle)

∴ ∠AOB = ∠DOC = 55° (: VertIcally opposite angles)

∠OAB = ∠OCD = 55° (. Alternate angles)

∴ ∠DOC=55°

∠DCO = 55%

∠OAB= 55%.

Discussion

No Comment Found

Related InterviewSolutions

State whether the statements are True or False. It is possible to have a triangle in which two angles are acute.
State whether the statements are True or False. It is possible to have a triangle in which two of the angles are right angles.
State whether the statements are True or False.It is possible to have a triangle in which each angle is greater than 60°.
State whether the statements are True or False. It is possible to have a triangle in which each angle is less than 60°.
State whether the statements are True or False. It is possible to have a triangle in which each angle is equal to 60°.
In the figure y° = …………….. A) 45°B) 55°C) 90°D) 35°
In a triangle, one angle is of 90°. Then(i) The other two angles are of 45° each(ii) In remaining two angles, one angle is 90° and other is 45°(iii) Remaining two angles are complementaryIn the given option(s) which is true?(a) (i) only (b) (ii) only (c) (iii) only (d) (i) and (ii)
If two acute angles of a right triangle are equal, then each is equal toA. 30°B. 45°C. 60°D. 90°
Choose the correct one. If two angles of a triangle are 60° each, then the triangle is(a) Isosceles but not equilateral (b) Scalene(c) Equilateral (d) Right-angled
In an isosceles triangle, one angle is 70°. The other two angles are of(i) 55° and 55° (ii) 70° and 40° (iii) any measureIn the given option(s) which of the above statement(s) are true?(a) (i) only (b) (ii) only (c) (iii) only (d) (i) and(ii)