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Can you please help me

User Mordaroso
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1 Answer

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- In order to calculate the value of x in the given figure, you take into account that the angle A to the left of the angle 130° is:

180° - 130° = 50°

Next, you also take into account that the right triangle is isosceles, that is, two sides are equal. This also means tha the angle B of the right triangle is 50°

Finally, you use the fact that the sum of all angles inside a triagle must be 180°. Thus, you have:

50° + 50° + x = 180° you solve for x

100° + x = 180°

x = 180° - |00°

x = 80°

Hence, the value of angle x is x = 80°

- For the second figure you have that the left triangle is an equilateral triangle. Furthermore, the bigger traingle ABC is a rectangle triangle. Because of that angle B has to be 90°, but you already have angle there of 45°; hence, the angle to the left of the angle 45° and inside the equilateral angñe has to be also 45° (45°+45°=90°). Thus, y = 45°

The rest of the angles inside the equilateral triangle are also of 45°

Next, you consider that the sum of angles of the triangle ABC must be 180°. Then, for angle x, you have:

45° + 90° + x = 180°

135° + x = |80°

x = 180° - |35°

x = 45°

Hence, x and y angles are x=45°, y=45°

User Symen Timmermans
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