Question

two supplementary angles differ by 50 degree find the larger angle​

Answer 1

Answer:

let the first angle be x and the second angle be x+50

According to the question,

X+x+50=180

X+x+50=1802x+50=180

2x=130

2x=130X=65°

2x=130X=65°the first angle =x =65°

2x=130X=65°the first angle =x =65°the second angle =x+50=65+50=115

ALITER METHOD:

Here's the answer

Let the two angles be x and y.

We know that

Supplementary angles measure 180°

Therefore,

x + y = 180° ... eq. (1)

Now,

According to the given condition,

X - y = 50° ... eq. (2)

Now,

Adding eq (1) and eq (2),

We get,

x + y = 180°

+ x - y = 50

----------------

2x = 230

x = 115°

Now,

As x - y = 50°

Putting value of x in eq. (2),

115 - y = 50°

y = 115°-50°

y = 65°

Thus,

We got values of x and y -

X = 115°

y = 65°

Step-by-step explanation:

hope it helps you