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]
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