Question

Q .1 / In a triangle, one angle measures 100° and the other two angles are equal . Find the angles.

Needed proper Explanation and Answer.

Who will give the proper answer I will make him / her Brainlist .​​

Answer 1

Answer:

40° each.

Step-by-step explanation:

Sum of all the angles of a triangle = 180° (angle sum property of a triangle)

Given, one angle = 100° (say ∠A)

other two angles are equal (say ∠B and ∠C)

i.e., ∠B = ∠C

So, ∠A + ∠B + ∠C =180°

100° + 2∠C = 180°

2∠C = 180° - 100°

2∠C = 80°

∠C = 80°/2

∠C = 40°

So, ∠B = ∠C = 40°

Answer 2

Answer:

$\pink{ \boxed{ \boxed{Equal \: angles \: are \: 40°}}}$

Step-by-step explanation:

$\green{ \mathfrak{ \large{given}}}$

• In a triangle, one angle measures 100°
• The other two angles are equal .

$\mathfrak{ \underline{ \underline{to \: find}}}$

• The equal angles.

$\purple{ \underbrace{ \mathfrak{solution}}}$

We know that, The sum of the three angles of a triangle is 180°

Let the equal angles be x and y

According to the question,

$x + y + 100 = 180 \\ x + y = 180 - 100 \\ x + y = 80$

Now, as x=y, we can write x in the place of y,

And we find,

$x + x = 80 \\ 2x = 80 \\ x = 40$

So, angle x = 40°

Hence, angle y = 40°

❣Hope this helps you✌