The angles of a pentagon are x, x − 5 , x + 10 , 2x + 15and 2x + 30 . find all the angles.

65°, 70°, 80°, 155°, 170°

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

here n = 5 ( pentagon )

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

x + x - 5 + x + 10 + 2x + 15 + 2x + 30 = 540

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Hence angles are

x = 70°

x - 5 = 70 - 5 = 65°

x + 10 = 7 0 + 10 = 80°

2x + 15 = (2 × 70) + 15 = 140 + 15 = 155°

2x + 30 = (2 × 70) + 30 = 140 + 30 = 170°

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.