Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

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

Question

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

Explanation:

Step1: Sum triangle angles to 180°

$37^\circ + 35^\circ + 4p = 180^\circ$

Step2: Calculate known angle sum

$72^\circ + 4p = 180^\circ$

Step3: Isolate the term with $p$

$4p = 180^\circ - 72^\circ$
$4p = 108^\circ$

Step4: Solve for $p$

$p = \frac{108^\circ}{4}$

Answer:

$27^\circ$