Question

Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures.​

Answer 1

Step-by-step explanation:

Mathematics is the science that deals with the logic of shape, quantity and arrangement. ... The more complex a society, the more complex the mathematical needs. Primitive tribes needed little more than the ability to count, but also relied on math to calculate the position of the sun and the physics of hunting.

Answer 2

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Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures.

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

$\sf\green{Given :}$

➣ Two Supplementary Angles

➣ Larger Angle Measure 36° more than the Measure of smaller

$\sf\pink{To \: Find:}$

➣ The Measure of the smaller supplementary angle

➣ The Measure of the Larger supplementary angle

$\sf\red{Solution:}$

➪ Let, the smaller supplementary angle = x°

➪ Let, the larger supplementary angle = x + 36°

➪ The sum of two Supplementary Angles = 180°

⟼ x + x + 36° = 180°

⟼ 2x + 36° = 180°

⟼ 2x = 180° - 36°

⟼ 2x = 144°

⟼ x =

$\cancel\frac{144}{2}$

⟼ x = 72°

➙ The Smaller supplementary angle = x° = 72°

➙ The Larger supplementary angle = x + 36° = 72° + 36° = 108°

➦ So, the Measure of the smaller supplementary angle is 72° and the Measure of the larger supplementary angle is 108°