Question

4. The difference between the measure
of the two angles of a complementary
pair is 40°. Find the measures of the two angles.
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Answer 1

Answer:

65° and 25°

Step-by-step explanation:

Let the first angle be x

And let the second angle be y

According to the question, difference between the measure of 2 angles of a complementary pair is 40°

Hence,

x - y = 40° {eq.1}

And the pair of angles is complementary...So,

x + y =90° {eq.2}

Adding eq.1 and eq.2,

2x =130°

x = 130/2 = 65°

When we put the value of x as 65° in eq.2, we get:

65° + y = 90°

y = 25 °

Hence the 2 angles are 65° and 25° respectively.

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