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
yKpoI14uk [10]
3 years ago
14

If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

        = 48°

Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

You might be interested in
A scale drawing of a door is 2 cm high. If the scale is 1 cm = 4 meters, what is the actual height of the door?
Vanyuwa [196]
2*4= 8 meters

You could multiply every centimeter by the scale of 4 because 1 cm= 4 meters.

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
How to find the measurements of an angles
Mariulka [41]
•sum of the angles in a triangle = 180°
•sum of the angle in a quadrilateral = 360°
•opposite angles are equal
•for two parallel lines and a transversal, corresponding angles are equal, and alternate angles are equal.
•If it already has an angle for a triangle subtract that by 180 and divide it by two you have the other two angle, if you already have two angles on a triangle add those together and subtract from 180 thats the last angle, same for a quadrilateral but you subtract by 360 instead.
4 0
3 years ago
you have diving lessons every fifth day and swimming lessons every third day today you have both lessons in how many days will y
olganol [36]
Mondays, Tuesdays, Wednesdays.
8 0
3 years ago
-5x+y=6<br> -3x+6y=-12<br> Solving systems of equations by substitution
Yakvenalex [24]

if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals

as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12

then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get x=\frac{-48}{27} or x≈1.8

4 0
3 years ago
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
Mariana [72]
5ft and 4 in??? I'm not sure but check tho
5 0
3 years ago
Other questions:
  • Write an expression that is equivalent to 6(7x - x).<br> Enter your answer in the space provided.
    7·2 answers
  • Simplify y5 x y3 divided by y2
    8·1 answer
  • Can someone solve this?
    13·1 answer
  • A common test of strength engaged in by high school students at Elmhurst HS is seeing how much weight they can lift from the flo
    9·1 answer
  • X^-9*x^-2 <br> a 1/x^18<br> b 1/x^11<br> c x^18<br> d x^11
    13·1 answer
  • I need help finishing my homework please
    14·2 answers
  • The functions f(x) = (x + 5)^2 + 2 and g(x) = -(x − 3)^2−3 have been rewritten using the completing-the-square method. Is the ve
    15·1 answer
  • Answer this for brainiest (easy)
    8·1 answer
  • A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at
    8·1 answer
  • Which of the following statements about least squares regression analysis is true?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!