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DiKsa [7]
3 years ago
8

What is the measure of minor arc BD?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0

Answer:

minor\ arc\ BD=100^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A <u><em>circumscribed angle</em></u> is the angle made by two intersecting tangent lines to a circle

so

In this problem

BC and CD are tangents to the circle

BC=CD ----> by the Two Tangent Theorem

That means

Triangle ABC and Triangle ADC are congruent

so

m\angle BAC=m\angle DAC

Find the measure of angle BAC

In the right triangle ABC

m\angle BAC+m\angle BCA=90^o

substitute given value

m\angle BAC+40^o=90^o

m\angle BAC=90^o-40^o=50^o

Find the measure of angle BAD

m\angle BAD=2m\angle BAC

m\angle BAD=2(50^o)=100^o

Find the measure of minor arc BD

we know that

minor\ arc\ BD=m\angle BAD -----> by central angle

therefore

minor\ arc\ BD=100^o

irinina [24]3 years ago
6 0

Answer:

the answer is 100, D of e2020

Step-by-step explanation:

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