What are the missing angle measures in triangle abc?

1.4° and 88.6°

18.6° and 71.4°

35.5° and 54.5°

44.4° and 45.6°

[tex]What are the missing angle measures in triangle abc? 1.4° and 88.6° 18.6° and 71.4°[/tex]

Skip to content# What are the missing angle measures in triangle abc? 1.4° and 88.6° 18.6° and 71.4° 35.5° and 54.5° 44.4° and 45.6°

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What are the missing angle measures in triangle abc?

1.4° and 88.6°

18.6° and 71.4°

35.5° and 54.5°

44.4° and 45.6°

[tex]What are the missing angle measures in triangle abc? 1.4° and 88.6° 18.6° and 71.4°[/tex]

sorry for that it won't happen again

we know that

In the right triangle ABC

∠[tex]A+[/tex]∠[tex]B=90[/tex] ------> by complementary angles

so

Step [tex]1[/tex]

Find the measure of angle B

we know that

[tex]tan\ B=\frac{opposite\ side\ angle\ B}{adjacent\ side\ angle\ B}[/tex]

in this problem

[tex]opposite\ side\ angle\ B=7in\\ adjacent\ side\ angle\ B=5in[/tex]

so

[tex]tan\ B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees[/tex]

Step [tex]2[/tex]

Find the measure of angle A

[tex]A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees[/tex]

therefore

the answer is the option

35.5° and 54.5°

C) 35.5 and 54.5 is the answer. I solved it on paper to check the steps by steps.

Step-by-step explanation:

[tex]Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length[/tex]

35.5° and 54.5°

solve though tangent