Question

question 4
16 pts
use the triangl sum theorem to find the value of a.
5 pts
5 pts
a=
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Explanation:

Step1: Apply Triangle Sum Theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \((a - 15)+(2a + 10)+(a - 5)=180\).

Step2: Simplify the left - hand side

Combine like terms: \((a+2a + a)+(-15 + 10-5)=180\).
\(4a-10 = 180\).

Step3: Solve for \(a\)

Add \(10\) to both sides: \(4a=180 + 10\), \(4a=190\).
Divide both sides by \(4\): \(a=\frac{190}{4}=47.5\).

Answer:

\(47.5\)