Question

if two supplementary angels differ by 50°, find the measures of each angle​

Answer 1

Step-by-step explanation:

Let one angle be x° and its supplementary be (180- x)°.

We know Sum of two Supplementary Angles is 180°

So,

x - (180-x) = 50

or, 2x - 180 = 50

or, 2x = 180+50

or, x = 230/2

or, x = 115°

Therefore,

One angle x° is 115° .

and the other angle is (180 - 115)° = 65° .

Answer 2

Step-by-step explanation:

GIVEN THAT :

• SUPPLEMENTARY ANGLES DIFFER BY 50°

QUESTION ASKED :

• FIND THE MEASURES OF THE ANGLES

ASSUMPTION :

• LET THE ANGLES BE x , y

SOLUTION :

• x+y = 180°
• AS PER THE GIVEN CONDITION
• x = y + 50°
• So,
• y+50°+y = 180°
• 2y + 50° = 180°
• 2y = 130°
• y = 130°/2
• y = 65°
• As, x = y+50°
• x = 115°

CONCLUSION :

So the measure of angles = 65° and 115°