Math, asked by dhoni705, 1 year ago

In the given figure, AB || CD. If angle ABO = 45°
and angle COD = 100°, then find angle ODC.​

Answers

Answered by saicharan2004
34

Answer:

ODC=215,ABO=45,COD=100

Step-by-step explanation:

sum of all angles=360

ABO+COD+ODC=360

45+100+ODC=360

145+ODC=360

ODC=360-145

ODC=215

Answered by Anonymous
2

Given:

Angle ABO=45°

Angle COD=100°

To find:

The measure of angle ODC

Solution:

The measure of angle ODC is 35°.

We can find the angle by following the given steps-

We know that AB || CD and when two lines are parallel, the alternate interior angles formed are also equal.

We are given that the angle ABO=45°.

Since BC is the transversal, angle ABO is equal to the angle OCD.

So, angle ABO=angle OCD=45° (Alternate interior angles)

Now, in ΔCOD,

Angle COD=100°

The sum of all the angles in the ΔCOD is 180°.

Angle COD+Angle OCD+Angle ODC=180° (angle sum property)

On putting the values, we get

100°+45°+angle ODC=180°

145°+angle ODC=180°

Angle ODC=180°-145°

Angle ODC=35°

Therefore, the measure of angle ODC is 35°.

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