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What are the missing angle measures in triangle ABC?

a.1.4° and 88.6°
b.18.6° and 71.4°
c.35.5° and 54.5°
d.44.4° and 45.6°

What are the missing angle measures in triangle ABC? a.1.4° and 88.6° b.18.6° and-example-1
User Shocks
by
7.9k points

2 Answers

7 votes

Answer:

(C)35.5° and 54.5°

Explanation:

It is given that ABC is a right angled triangle which is right angled at C and AC=7 inches and CB=5 inches.

Now, using the trigonometry, we have

From ΔABC, we have


(BC)/(AC)=tanA


(5)/(7)=tanA


0.714=tanA


A=tan^(-1)(0.714)


A=35.5^(\circ)

Again, from ΔABC, we have


(AC)/(BC)=tanB


(7)/(5)=tanB


1.4=tanB


B=tan^(-1)(1.4)


B=54.5^(\circ)

Therefore, the measure of missing angles in triangle ABC are 35.5° and 54.5°respectively.

Thus, option C is correct.

User Linora
by
8.1k points
3 votes

angle a = arctan(5/7) = 35.5

angle b = arctan(7/5) = 54.5


Answer is C

User Sunil Parmar
by
9.0k points