1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadya68 [22]
3 years ago
11

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0
<span>The complete question is shown in the attached image

<u><em>Answer:</em></u>
measure angle H = 42</span>°<span>

<u><em>Explanation:</em></u>
<u>There is a theorem that states that:</u>
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

<u>In the given, we have:</u>
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

<u>Based on the above rule:</u>
measure angle E = measure angle D + measure angle H

<u>We are given that:</u>
angle E = 87</span>°<span>
angle D = 45</span>°<span>

<u>Substitute with the givens in the above rule and solve for the measure of angle H as follows:</u>
angle E = angle D + angle H
87</span>°<span> = 45</span>°<span> + measure angle H
measure angle H = 87</span>°<span> - 45</span>°<span>
measure angle H = 42</span>°<span>

Hope this helps :)</span>

You might be interested in
Find the measure of the exterior angle
EastWind [94]

Answer:

A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.

8 0
3 years ago
Determine if the pair of figures are congruent and select the appropriate theorem if applicable.
Korolek [52]
I think the answer should be A

5 0
2 years ago
Read 2 more answers
3/5y=-7/25 solve for y
eimsori [14]
Y= -7/15 
Hope this is good enough :D

8 0
3 years ago
A rose garden in the city park is rectangular and is 9m wide. If the area of the rectangle is 144m, what is the length of the ga
Keith_Richards [23]

Answer:

So 144 divided by 9 equals 16 so the length is 16. Cause 16 x 9 = 144 Your Welcome !

Step-by-step explanation:

4 0
3 years ago
What is an equation of the line that passes through the points (-8, 1) and(7,1)?
likoan [24]

Answer:

y=1

Step-by-step explanation:

you can use those points to find the slope

use the equation \frac{y_{1} - y_{2}}{x_{1}-x_{2}} then plug in the numbers

so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.

so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then

you get y=0*x+1

then 0*x is just zero and it goes away so the equation for this line is y=1

Hope this helps! :)

8 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a blue ma
    7·2 answers
  • Two trains are traveling in opposite directions between Los Angeles and Sacramento. The Sacramento bound train is moving at a sp
    9·1 answer
  • How many solutions does the equation 9x +3=9x + 5 have?
    10·2 answers
  • What is 4/3 subtracted by 2/5
    15·1 answer
  • Help me please. Refer to the image first. <br><br>​
    7·1 answer
  • -1/2x-3=4 what is X<br>​
    10·2 answers
  • CALCULATOR
    7·1 answer
  • 3 800 millimeters expressed in metres is​
    7·2 answers
  • Num cinema, há 12 fileiras com 16 poltronas e 15 fileiras com 18 poltronas. O número total de poltronas é
    9·1 answer
  • Find the product<br> (2z+9)(z-7)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!