Ineed on this and my last question

The Value of t from given convex polygon is 41.

Step-by-step explanation:

Let us consider,

a=61°.

b=2t.

c=3t.

d=42°.

e=52°.

The sum of exterior angles of convex polygon is always 360°.

a+b+c+d+e=360°.

The exterior angles of any convex polygon is same as if any angle drawn inside a circle.

Steps to reform the angles:

Step 1: Draw the ∠a as given in the original diagram.

Step 2: The ∠b is adjacent to ∠a 's end and draw a parallel line of ∠b in the ∠a. The angle measure will also be same.

Step 3: Continue the same for next angles ∠c,∠d and ∠e.

(refer the image dotted lines are the parallel lines.)

⇒ 61°+42°+52°+2t+3t=360°.

155°+5t=360°.

5t=205°.

t=41°.

Also,

∠b=82°.

∠c=123°.

Check,

61°+82°+123°+42°+52°=360°.

a² + b²= c²

24² + 7² = c²

c= 25