Question

Angle p and Q are complementary angle if they are represented by the expression M angle Q=y and M angle P=2y+30thentheir measure are

Answer 1

Answer:

Q=y=20°

Step-by-step explanation:

Complimentary means they sum to 90°

so P+Q=90°

so, y+2y+30°=90°

3y=60°

y=20°

So, P=2y+30=2×20+30=40+30=70°

Q=y=20°

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Answer 2

Given:

Two complementary angles P and Q.

$m<Q=y$

$m<P=2y+30$

To find:

Measures of ∠P and ∠Q.

Solution:

When the sum of two angles result in 90°, then these angles are called complementary angles. Since, ∠P and ∠Q are complementary angles, then,

$<P+<Q=90$

∠Q is given as $y$ and ∠P is given as $2y+30$.

Substituting the values in the above equation,

$2y+30+y=90$

$2y+y=90-30$

$3y=60$

$y=\frac{60}{3}=20$

Thus, ∠Q is given as 20° and ∠P is given as $2(20)+30=40+30=70^{0}$

Recheck: ∠P+∠Q=90 ⇒ 70° + 20° = 90°

Measures of ∠P and ∠Q are given by 70° and 20° respectively.