Final answer:
To find the measure of ∠3, we can use the given information about ∠6 and ∠8, and set up an equation. Simplifying the equation and isolating ∠3 will give us the desired measure.
Step-by-step explanation:
To find the measure of ∠3, we need to identify its relationship with ∠6 and ∠8. In this case, ∠6 is represented as (2x - 5)° and ∠8 is represented as (x + 5)°.
From the given information, we can set up the equation:
∠6 + ∠3 + ∠8 = 180°
Substituting the given values, we have: (2x - 5) + ∠3 + (x + 5) = 180°
Simplifying the equation, we get: 3x + ∠3 = 180°
To find the value of ∠3, we need to isolate it. Subtracting 3x from both sides, we have: ∠3 = 180° - 3x
Therefore, the measure of ∠3 is 180° - 3x.