If 1 = 2x + 6 and 2 = -x + 24, find 1 and 2.

Given:

∠1 = 2x+6 ans ∠2= -x+24

To find the values of ∠1 and ∠2.

Formula:

The values of the vertical angles are always equal.

Here,

∠1 and ∠2 are vertical angles.

So, by this condition,

∠1=∠2

or,

or, [ Taking all the variables in one side and all the constant in other side]

or,

or,

or,

So,

∠1 =

∠2 =

Hence,

The values of ∠1 and ∠2 are 18°.

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step-by-step explanation:

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