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
Oxana [17]
3 years ago
11

What is the measure of a base angle of an isosceles triangle if the measure of the vertex tangle is 38 degrees and the two congr

uent sides each measure 21 units?
Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0

The measures of the angles of the isosceles triangle are 55, 55 and 70.

Explanation:

An isosceles triangle has two congruent base angles and a vertex angle.

Let b =the measure of one of the base angles.

Let v = the measure of the the vertex angle.

The vertex angle is 40 degrees less than the sum of the base angles.

v = b + b − 40 = 2 b − 40

The sum of the measures of the angles of a triangle is 180.

b + b + v = 180

Substitute 2 b − 40 for v .

b + b + 2 b − 40 = 180

4 b − 40 = 180

+40+40

Combine like terms.

Add 40 to both sides.

4b=220

Divide by 4

4 b/4 = 220 /4

b = 55

v = 2 b − 40

v = 2 ( 55 ) − 40 = 70

You might be interested in
Solve pls brainliest
Mazyrski [523]

Answer:

33/36

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
7 yards = to how many feet
tino4ka555 [31]

Answer:

21 Feet

Step-by-step explanation:

7 yards is equal to 21 feet

7 0
2 years ago
My brain is too tired to function someone save me
lina2011 [118]

Answer:

(3,2)

Step-by-step explanation:

Hope I helped

5 0
3 years ago
What is the surface area of the following cylinder in square centimeters? 25 mm 1 cm 471 cm 2 2 31.4 cm 47.1 cm 2 54.95 cm 2​
Fittoniya [83]

Answer:

54.95 cm 2.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
solniwko [45]
It would be C-20.8m/s
3 0
3 years ago
Other questions:
  • the main and original incentive for european countries to explore was ___. curiosity religion trade warfare
    7·2 answers
  • The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 15.4 V and b = -5.10 V/m.
    9·1 answer
  • Please answer this fast in 2 minutes
    15·2 answers
  • What if 8 crayons cost $11.50 what would one crayon cost lol.
    14·1 answer
  • Please help! Only have a few minutes left to answer before it's waaay too late! It's the final extension!
    10·2 answers
  • Find the length of diagonal AC in the rectangle<br> at the right<br><br> show you’re work plss
    13·1 answer
  • Can someone please help me with this ASAP ill love you forever
    10·1 answer
  • The area of the parallelogram below is ____ square meters.<br> look at the pic bolow
    14·1 answer
  • 20
    12·1 answer
  • Can somebody help me out?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!