Question

If in ∆ABC, ∠A = 65


and ∠C = 60


then what is the measure of ∠B?

pls answer anyone fast with an explanation

I will mark as brainlest

Answer 1

Answer :-

• The measure of ∠ B is 55°.

Given :-

• In ∆ABC,

• ∠ A = 65°.
• ∠ C = 60°.

To find :-

• The measure of ∠ B.

Step-by-step explanation :-

• Here, the measure of ∠ A and ∠ C have been given to us. We have to find the measure of ∠ B. Let's do it by using the angle sum property!

We know that :-

$\underline{ \boxed{\sf Sum \: of \: all \: the \: angles \: in \: a \: triangle = 180^{\circ}}}$

Here,

• ∠ A = 65°.
• ∠ C = 60°.

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

Hence,

$\hookrightarrow\rm \angle A + \angle B + \angle C = 180^{ \circ}$

Substituting the values of A and C,

$\hookrightarrow\rm65^{ \circ} +\angle B + 60^{ \circ} = 180^{ \circ}$

Adding the numbers,

$\hookrightarrow\rm125^{ \circ} + \angle B = 180^{ \circ}$

Transposing 125° from LHS to RHS, changing it's sign,

$\hookrightarrow\rm\angle B = \rm180^{ \circ} - 125^{ \circ}$

Subtracting 125° from 180°,

$\hookrightarrow\overline{\boxed{\rm\angle B = 55^{ \circ}}}$

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

• So, the measure of ∠ B = 55°.

Answer 2

Answer: ∠A = 40 , ∠B = 25 and ∠C = 115

Question:-

If in ∆ABC, ∠A = 65

If in ∆ABC, ∠A = 65and ∠C = 60

If in ∆ABC, ∠A = 65and ∠C = 60then what is the measure of ∠B?

Given Explain

∠A + ∠B = 65

∠B + ∠C = 140

∠A + ∠B + ∠B + ∠C = 65 + 140

(∠A + ∠B + ∠C) + ∠B = 205

180 + ∠B = 205

∠B = 205 - 180

∠B = 25

∠C = 140 - ∠B

∠C = 140 - 25

∠C = 115

∠A = 65 - ∠B

∠A = 65 - 25

∠A = 40

Therefore  

∠A = 40 , ∠B = 25 and ∠C = 115