What is the sum of the measures of the exterior angles of this triangle?A triangle has angles A, C, 51 degrees. Angle A has exterior angle B and angle C has an exterior angle with measure of 112 degrees.
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The measure of ∠B is 119°.
What is the exterior angle?
An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacentside which is not extended.
All the exteriorangles are of the same measure, and therefore, their measure is (360/n)°.
The angle adjacent to 112° will form a straight angle along with 112° adding to 180° which makes ∠C=68°
Then;
a+c+51°= 180°
a+68°+51° = 180°
a+119° = 180°
a = 180° - 119°
a = 61°
Now,
a+b = 180°
61+b = 180
b = 180-61
b = 119°
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Answer:
119
Step-by-step explanation:
100 on edge
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Answer:
JK = 83 , m∠A = 70° , m∠ALM = 110°
Step-by-step explanation:
* Lets explain how to solve the problem
∵ ABCD is a trapezoid
∴ DC // AB
∴ m∠D + m∠A = 180° ⇒ interior supplementary angles
∵ m∠D = 110°
∴ 110° + m∠A = 180° ⇒ subtract 110° from both sides
∴ m∠A = 70°
∵ L is the midpoint of AD, and M is the midpoint of BC
∴ LM is the median of trapezoid ABCD
∴ LM // AB and DC
∴ m∠D = m∠ALM ⇒ corresponding angles
∵ m∠D = 110°
∴ m∠ ALM = 110°
- The length of the median is half the sum of the lengths of the two
parallel bases
∴ LM = 1/2 (AB + DC)
∵ AB = 96 units and DC = 44 units
∴ LM = 1/2 (96 + 44) = 1/2 (140) = 70 units
- In the quadrilateral ABML
∵ AB // LM
∵ AL ≠ BM
∴ ABML is a trapezoid
∵ JK is its median
∴ JK = 1/2 (AB + LM)
∵ AB = 96 units ⇒ given
∵ LM = 70 units ⇒ proved
∴ JK = 1/2 (96 + 70) = 1/2 (166) = 83
∴ JK = 83 units
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This is because 14 * 14 = 196, which means that if each side length was 14 squares, that the area of the square would contain 196 squares.
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Answer:
Given: Square root of 25 .i.e.,
When we find the . we get 2 answers that are +5 , -5
As, . Also
but while selecting value for radius we choose positive value of .i.e, +5 because Radius of circle should be a positive value as it is a Length.
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To solve this equation you can plug in these numbers into the equations, so for example you can that the equation a-3b=9 and the points are (-9,-6). you would then insert the numbers so you would have the equation (-9)-3(-6)=9. simplify -9+18=9 and there you have it, the answer is (-9,-6)