Question

if angle A and angle B are conjugate angles and Angle A = angle B then find two angles​

Answer 1

Step-by-step explanation:

Correct option is

A

A=90

∘

,B=40

∘

and C=50

∘

Let angle B=4x and angle C=5x.

Given, angle A=B+C=4x+5x=9x

We know that sum of angles in a triangle =180

0

⇒9x+4x+5x=180

0

⇒18x=180

0

x=10

0

Hence, angles are A=9x=90

0

;B=4x=40

0

;C=50

0

.

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Answer 2

Given,

Angle A and angle B are conjugate angles.

Angle A = Angle B

To find,

The measurements of angle A and angle B

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, two angles are considered to be conjugate, if their sum is 360°

Let, Angle A = x°

So, Angle B = x° (As they are equal)

According to the previously mentioned property of conjugate angles. We can write that -

x+x = 360

2x = 360

x = 180

So, Measurement of angle A = 180°

And, Measurement of angle B = 180°

Hence, Angle A is 180° and Angle B is also 180°