Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the diagram shows a triangle. what is the value of ( s )? ( s = square^…

Question

the diagram shows a triangle.
what is the value of ( s )?
( s = square^circ )

Explanation:

Step1: Sum angles to 180°

$(2s-16^\circ)+(s-9^\circ)+(s-15^\circ)=180^\circ$

Step2: Simplify left side

$2s - 16 + s - 9 + s - 15 = 180$
$4s - 40 = 180$

Step3: Solve for $s$

$4s = 180 + 40$
$4s = 220$
$s = \frac{220}{4}$

Answer:

$55$