Question

Answer the question in the pic​

Answer 1

Answer: ABD = 144

Explanation:

Looking at the diagram, we can see that the two angles are supplementary; so, to find the measure of the missing angle, we'll set up an equation.

Recall that the sum of two supplementary angles is 180°.

Therefore,
`\bf{m\angle ABD+m\angle CBD=180}`

We know that
`\bf{m\angle ABD}` is 4x and
`\bf{\angle CBD = x}`; we have an equation:

`\bf{4x+x=180}`

Combine like terms:

`\bf{5x=180}`

Divide both sides by 5:

`\bf{x=36}`

Multiply it by 4 to find angle ABD:

`\bf{36*4=144}`

Answer 2

We have,

• m∠ABD = 4x
• m∠CBD = x

As we know that, the sum of angles that are formed on a straight line is always 180°

m∠ABD + m∠CBD = 180°

• 4x + x = 180°
• 5x = 180°

Divide both sides by 5,

• x = 36°

Also, m∠ABD = 4x

Plugging the value of x,

• m∠ABD = 4(36)
• m∠ABD = 144°

Henceforth, m∠ABD is 144°