AC←→ is tangent to the circle with center at B. The measure of ∠ACB is 24°. What is the measure of ∠ABC?

Answer 1

Autumn Armstrong

#66^circ#

Now we know that #angleCAB=90^circ# and #angleACB=24^circ#

Our goal is to find the third angle, so we use the property:

#color(brown)("Sum of the three angles of a triangle is"# #color(brown)(180^circ#

So,

#rarrangleCAB+angleACB+angleABC=180^circ#

#rarr90^circ+24^circ+angleABC=180^circ#

#rarr114^circ+angleABC=180^circ#

#rarrangleABC=180^circ-114^circ#

#color(green)(rArrangleABC=66^circ#

Hpe this helps..... :)

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Answer 2

Mason Adams

#66^@#

Given that #AC# is tangent to the circle and #B# is the center of the circle, #=> angleCAB=90^@# Given #angleACB=24^@#, #=>angleABC=180-angleCAB-angleACB# #=180-90-24=66^@#

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Answer 3

Maverick Smith

The measure of ∠ABC is 90°.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.