Question

Find the sum of the measures of the intereor angles of each convex polygon.

Answer 1

Step-by-step explanation:

To find the sum of the measures of the intereor angles of each convex polygon

we using formula

• $(x - 2)180°$

#4

we can put the value of x is 54

then,

• $\longrightarrow \: (54 - 2) \times 180°$

• $\longrightarrow \: 52 \times 180°$
• $\longrightarrow \: 9360°$

#5

we can put the value of x is 19

then,

• $\longrightarrow \: (19 - 2) \times 180°$
• $\longrightarrow \: 17 \times 180°$
• $\longrightarrow \: 3060°$

#6

we can put the value of x is 292

then,

• $\longrightarrow \: (292 - 2) \times 180°$
• $\longrightarrow \: 290 \times 180°$
• =》 52200°

#7

we can put the value of x is 5

then ,

• $\longrightarrow \: (5 - 2) \times 180°$
• $\longrightarrow \: 3 \times 180°$
• =》 540°

Answer 2

Formula is

• (n-2)180

#1

$\\ \sf\longmapsto (54-2)180$

$\\ \sf\longmapsto 52(180)$

$\\ \sf\longmapsto 9360°$

#2

$\\ \sf\longmapsto (19-2)180$

$\\ \sf\longmapsto 17(180)$

$\\ \sf\longmapsto 3060$

#3

$\\ \sf\longmapsto 292-2(180)$

$\\ \sf\longmapsto 290(180)$

$\\ \sf\longmapsto 52200$

#4

$\\ \sf\longmapsto (5-2)180$

$\\ \sf\longmapsto 3(180)$

$\\ \sf\longmapsto 540$