Question

In the adjoining figure, AB is a common tangent
to two circles intersecting at C and D. Write
down the measure of (ACB+ ADB). Justify
your answer.​

Answer 1

Answer:

Step-by-step explanation:

Hope this helps you .......

Answer 2

Concept

The straight line that "just touches" the curve at a particular location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

Given

In the adjoining figure, AB is a common tangent to two circles intersecting at C and D.

Find

We have to find measure of ∠ACB+∠ADB

Solution

The steps are as follow:

From figure we can say that,

∠CBA = ∠CDB

∠CAB = ∠CDA

Also,

∠CDB + ∠CDA = ∠CBA  ∠CAB ---------------- (i)

∠CBA + ∠CAB + ∠ACB = 180

∠CBA + ∠CAB = ∠180 - ∠ACB ---------------- (ii)

From (i) and (ii)

∠CDB + ∠CDA = 180 - ∠ACB

∠CDB + ∠CDA = ∠ADB

∠ABD = 180 - ∠ACB

∠ADB +∠ ACB = 180

Hence the measure of ∠ACB+∠ADB will be 180

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