Question

(a-40) and (a+40) are the measure of complementary angles. find the measure of each angle

Answer 1

$complementary \: angles$

Complementary angles are the two angles whose addition ( sum ) is 90°.
Therefore,

${({a \: - 40} ) + (a + 40) = 90 {}^{0} }$
${2a \: = 90 {}^{0} }$
${a = 45 {}^{0}}$
${Measure \: of each \: angle..?}$
${a - 40 = 45-40 = 5°}$
${a + 40 = 45 + 40 = 95°}$


Therefore, the measures of two angles are..
5° and 95°
_______________________________
This is the answer.
Hope it helps you.

Answer 2

$\pink{\underline{\huge{\star Solution\star}}}$

$\blue{\underline {Statement\colon}}$

The sum of two or more complementary angles are always same as 90° on the other hand supplementary angles total sum is 180°.

$x = (a-40) \:\:\: y = (a+40) \\\\ x+y = 90\degree \: (statement) \\ \implies (a-40)+a+40 = 90\degree \\ \implies 2a - \cancel 40+ \cancel40 = 90\degree \\\implies a = \frac{\cancel{90\degree}}{\cancel 2} \\\implies a = 45\degree$

$x = a - 40\degree \\\implies 45\degree - 40\degree \\ \implies x = 5\degree$

$y = a + 40\degree \\\implies 45\degree + 40\degree \\ \implies x = 85\degree$

$\red{\huge{\underline{Answer}}}$

$\green{\boxed{ x\: = 5\degree}}$


$\green{\boxed{ y\: = 85\degree}}$