Answer:
18° and 72°
Step-by-step explanation:
The angle measures are unknown, so they will be represented with the variable, x. Since, one angle is 4 times the other, this will be represented with 4x.
To find complementary angles, they are added together and equal 90. So let's create an equation.
x + 4x = 90
Now solve for x.
5x = 90
5x/5 = 90/5
x = 18
One angle is 18°.
Now find the second angle.
4x
plugin 18 for x and multiply
4(18) = 72
That is right because it has 5 so it could be 4.8 and/or 4.9
Answer:
- a = 1.11
- B = 105.4°
- c = 2.95
Step-by-step explanation:
B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°
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The missing side lengths can be found from the Law of Sines:
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11
Likewise, ...
b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95
Answer:5/10
Step-by-step explanation:
1/2 x 5 = 5/10