Question

An equilateral triangle can have a right angle.
True
False

Answer 1

false

Answer 2

false

Answer 3

because all angles are of 60 degrees...

Answer 4

so true

Answer 5

Any triangle has at most two acute angles.
True
False

Answer 6

false

Answer 7

only one

Answer 8

thanks

Answer 9

its my pleasure

Answer 10

Which of the following types of polygons do not exist?

(i) parallelogram with right angles
(ii) isosceles trapezoid with all obtuse angles
(iii) quadrilateral with all acute angles
(i) and (ii) only
(i) and (iii) only
(ii) and (iii) only
None of the other choices

Answer 11

None of the other choices

Answer 12

5. Consider the following diagram. Which statement, if either, is true?


(i) m∠4 + m∠5 + m∠6 = 180°
(ii) m∠7 + m∠8 + m∠9 = 360°
A) (i) only
B) (ii) only
C) Both (i) and (ii)
D) Neither (i) nor (ii)

Answer 13

Parallelogram with right angles is called a rectangle. Pretty sure they exist.

Trapezoids have four sides, two of which are parallel. Like all quadrilaterals, they have a total of 360 degrees of interior angle. It is hard to get four obtuse angles to total to only 360.

Similarly, a quadrilateral with four acute angles will have a hard time summing to 360 degrees.

Seems to me that (ii) and (iii) are conditions that are hard to meet.