Question

write the complementary and supplementary angle for each angle.

complementary

supplementary

----

----

----

$27^{\circ}$

$82^{\circ}$

$34^{\circ}$

Explanation:

Step1: Define complementary angle rule

Complementary angles sum to $90^\circ$, so for angle $\theta$, complementary angle = $90^\circ - \theta$.

Step2: Define supplementary angle rule

Supplementary angles sum to $180^\circ$, so for angle $\theta$, supplementary angle = $180^\circ - \theta$.

Step3: Calculate for $27^\circ$

Complementary: $90^\circ - 27^\circ = 63^\circ$
Supplementary: $180^\circ - 27^\circ = 153^\circ$

Step4: Calculate for $82^\circ$

Complementary: $90^\circ - 82^\circ = 8^\circ$
Supplementary: $180^\circ - 82^\circ = 98^\circ$

Step5: Calculate for $34^\circ$

Complementary: $90^\circ - 34^\circ = 56^\circ$
Supplementary: $180^\circ - 34^\circ = 146^\circ$

Answer:

Angle	Complementary	Supplementary
$82^\circ$	$8^\circ$	$98^\circ$
$34^\circ$	$56^\circ$	$146^\circ$