Question

Whats angle A pls help

Answer 1

angle A = 19.6°

Explanation:

angle ABC + angle ACB + angle BAC = 180°

5x + (4x - 16)° + x = 180°

Simplifying:

5x + x + (4x + -16) = 180

Reorder the terms:

5x + x + (-16 + 4x) = 180

Remove parenthesis around (-16 + 4x)

5x + x + -16 + 4x = 180

Reorder the terms:

-16 + 5x + x + 4x = 180

Combine like terms: 5x + x = 6x

-16 + 6x + 4x = 180

Combine like terms: 6x + 4x = 10x

-16 + 10x = 180

Solving

-16 + 10x = 180

Solving for variable 'x'.

Add '16' to each side of the equation

-16 + 16 + 10x = 180 + 16

Combine like terms: -16 + 16 = 0

0 + 10x = 180 + 16

10x = 180 + 16

Combine like terms: 180 + 16 = 196

10x = 196

Divide each side by '10'

x = 19.6

The measure of angle A is 19.6°

Answer 2

Angle A = 19.6°

Explanation :

According to the question It is given that,

Angle A = x

Angle B = 5x

Angle C = 4x - 16

We will apply angle sum property in the question.

Angle sum property states that sum of all the angles of triangle is 180°

`\: :\implies` ∠A + ∠B + ∠ C = 180

`\: :\implies` x + 5x + 4x - 16 = 180

`\: :\implies` 10x - 16 = 180

`\: :\implies` 10x = 180 + 16

`\: :\implies` 10x = 196

`\: :\implies` x = 196/10

`\: :\implies` x = 19.6

Hence,

Angle A = x

`\: :\implies` 19.6 °

Angle B = 5x5 × 19.6

`\: :\implies` 98

Angle c = 4x - 16

`\: :\implies` 4 × 19.6 - 16

`\: :\implies` 78.4 - 16

`\: :\implies` 62. 4

We must also check our answer.

Sum of all angles = 180°

`\: :\implies` ∠A + ∠B + ∠ C = 180

`\: :\implies` 19.6 + 98 + 62.4 = 180

`\: :\implies` 117.6 + 62.4 = 180

`\: :\implies` 180 = 180

Hence, Verified.

Therefore, The Measure of Angle A is 19.6°