Answer:
A: 180° B: 360° C: 540°
Step-by-step explanation:
A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.
B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into <u>two triangles</u> we have to do: 180x2 which is 360°.
C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.
Letter A
because we should add the two smaller number in the radical and if the sum equals to the other one. Then, it is a right triangle
Just 9
I'm not sure for the second one but I think 1 ft
Answer:
140
Step-by-step explanation:
<u>As per picture:</u>
∠PTQ and ∠RTS are vertical angles and they are equal
- ∠PTQ = (x + 28)°
- ∠RTS = (2x + 16)°
- ∠PTQ = ∠RTS
- x + 28 = 2x + 16
- 2x - x = 28 - 16
- x = 12
∠PTR is supplementary with ∠PTQ and their sum is 180°
- ∠PTQ = 12 + 28 = 40°
- ∠PTR = 180 - 40 = 140°
Answer:
x = 52
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles of a triangle
x+72 = 34+90
x +72 =124
Subtract 72 from each side
x = 124-72
x =52
