Question

1 UU UUU.
Q33. One of the angles of a triangle is equal to the sum of the remaining two angles. If the ratio of these
angles is 4:5, find the angles of the given triangle.
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Answer 1

Answer:

4:5

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

According to the question

> one angle is equal to the sum of the remaining two angles.

>The ratio of the two angles =4:5

the sum of these two ratio is equal to the one ratio on the triangle.

therefore: 4+5=9

add these three ratio;4+5+9= 18.

According to the angle sum property of the triangle:

sum of its angles in the triangle = 180°.

the first angle=4/18×180° = 40°.

the second angle =5/18 × 180° = 50°.

the sum these two angle is the third angle = 40°+50°

= 90°.

Therefore, The angles of the given triangles are 40°,

50°, and 90°.