The triangles

The triangles ABC and A'B'C 'are similar with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35°, beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '.

Correct answer:

A₂ =  35 °
B₂ =  48 °
C₂ =  97 °

Step-by-step explanation:

$$\begin{gathered} \alpha =35^{\circ } \\ \beta =48^{\circ } \\ k=2 \\ {A}_2=\alpha =35=35^{\circ } \end{gathered}$$

$B_2=\beta =48=48^{\circ }$

$$\begin{gathered} \alpha +\beta +\gamma =180^{\circ } \\ {C}_2=180-A_2-B_2=180-35-48=97^{\circ } \end{gathered}$$

Try another example

Related math problems and questions:

• Similarity coefficient
  The triangles ABC and A "B" C "are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A "B" C ".
• Two angles
  The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
• Triangles
  Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
• Angles of a triangle
  In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle.
• Find the
  Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°.
• Similarity
  Are two right triangles similar to each other if the first one has an acute angle 70°, and the second one has an acute angle 20°?
• MO Z7–I–6 2021
  In the triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE and CBD are 30°, 60°, 20° and 30°, respectively. Find the size of the AED angle.
• Gamma angle
  Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56 ’and β = 47° 54’.
• Area and two angles
  Calculate the size of all sides and internal angles of a triangle ABC, if it is given by area S = 501.9; and two internal angles α = 15°28' and β = 45°.
• Aircraft
  From the aircraft flying at an altitude of 500m, they observed places A and B (located at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B?
• 3-bracket 3
  Two angles in a triangle are 90° and 60°. Has triangle at least two equal sides?
• The triangles
  The triangles KLM and ABC are given, which are similar to each other. Calculate the lengths of the remaining sides of the triangle KLM, if the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5
• The angles ratio
  The angles in the ABC triangle are in the ratio 1: 2: 3. find the sizes of the angles and determine what kind of a triangle it is.
• Angles of the triangle
  ABC is a triangle. The size of the angles alpha, beta are in a ratio 4: 7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC.
• Angles in triangle
  Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees.
• The raw
  The raw data presented here are the scores (out of 100 marks) of a market survey regarding the acceptability of new product launched by a company for random sample of 50 respondents: 40 45 41 45 45 30 30 8 48 25 26 9 23 24 26 29 8 40 41 42 39 35 18 25 35
• Similarity coefficient
  In the triangle TMA the length of the sides is t = 5cm, m = 3.5cm, a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other.