Answer:
A: m<1 = 79 degrees
B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees
Step-by-step explanation:
A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.
B: The sum of the measures of the interior angles in a triangle is 180 degrees.
Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.
Applying what we know from part A, 61 degrees+90 degrees = m<2.
And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.
Answer:
85
Step-by-step explanation:
if the top half is 180° and one side is 95° then the other side is 85°
The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
Find out more on equation at: brainly.com/question/13763238
