Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
- Let 'x' be the degree measure of the first angle.
Given that the degree measure of one of two complementary angles is twice that of the other.
- Thus, the other angle = 2x
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<em><u>Complementary angles</u></em>
- We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.
Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = 
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,




sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
Answer:
first and third
Step-by-step explanation:
Consider
y =
x + 3 ( multiply through by 2 )
2y = x + 6 ← third equation