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26 votes
26 votes
100 points if you can answer this ​

100 points if you can answer this ​-example-1
User Foxcub
by
2.9k points

2 Answers

5 votes
5 votes

Answer:

x = 124°

Explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the given angles and equate to 540°

90° + 122° + 105° + 99° x = 540° , that is

416° + x = 540° ( subtract 416° from both sides )

x = 124°

User Lortimer
by
2.9k points
22 votes
22 votes

Answer:

124 Degrees

Explanation:

Formula we use,

→ A + B + C + D + E = 540°

Let's solve for the value of angle x,

→ A + B + C + D + E = 540°

→ 99° + x + 90° + 122° + 105° = 540°

→ (99° + 90° + 122° + 105°) + x = 540°

→ 416° + x = 540°

→ x = 540° - 416°

→ [ x = 124° ]

Hence, the value of x is 124°.

User NXT
by
2.8k points