Question

8. <K and <L are complementary angles. If m<K = (3x + 3)º and m<L = (10x - 4), find the
measure of each angle.​

Answer 1

Answer:

<K=(3x+3)=3×7+3=24

<L=(10x - 4)=10×7-4=66

Step-by-step explanation:

two angles are complementary if their sum is equal to 90°,

Given,

<K=(3x+3)⁰

<L=(10x - 4)

<k+<L=90⁰

(3x+3)⁰+(10x - 4)=90⁰

3x+3+10x-4=90⁰

13x-1=90

13x=90+1

13x=91

x=91/13

x=7

put the value of x in each angles

<K=(3x+3)=3×7+3=24

<L=(10x - 4)=10×7-4=66