Answer:
Part 1) Option D. must be an acute angle
Part 2) m∠A=70°
Step-by-step explanation:
Part 1) In triangle ABC, if an exterior angle drawn at vertex C measures 45, then angle B...
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at C is equal to the sum of the interior angles at A and B
we have that
45°=m∠A+m∠B
therefore
m∠B < 90°
Angle B must be an acute angle
Part 2)
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at B is equal to the sum of the interior angles at A and C
m∠A+m∠C=2m∠C+5
m∠C=m∠A-5 ----> equation A
m∠C=65° ----> equation B
substitute equation B in equation A
65°=m∠A-5
m∠A=(65+5)°=70°
We have an equation: ?/17= 5/8
Cross multiply:
8*?= 5*17
⇒ ?= 5*17/8= 10 5/8
We only need 10 5/8 ft~
Answer:
Step-by-step excircle
A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.planation:
Answer:
8+8= 16
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the function
f(x) = 
Now integrating on both sides, we get

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<u><em>Step(ii):-</em></u>
Let 


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<u><em>Final answer:-</em></u>
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