Question

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

Answer 1

Complementary angles have a submission of 90 degrees thus :

$angle \: \: A + angle \: \: B = 90°$

$(4x - 28)° + (4x - 8)° = 90°$

$4x + 4x - 28 - 8 = 90$

Collect like terms

$8x - 36 = 90$

Add both sides 36

$8x - 36 + 36 = 90 + 36$

$8x = 126$

Divide both sides by 8

$\frac{8x}{8} = \frac{126}{8}$

$x = 15.75$

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Now let's find the measure of A :

$A = 4x - 28$

$A = 4 \times (15.75) - 28$

$A = 63 - 28$

$A = 35°$

And we're done...

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