The measures of two complementary angles are 64 degrees and 26 degrees
<h3><u>Solution:</u></h3>
Let the larger angle be "a" and smaller angle be "b"
<em>Two angles are Complementary when they add up to 90 degrees</em>
so we get,
a + b = 90 ------ eqn 1
Given that measure of the larger angle is 12 more than twice the measure of the smaller angle
larger angle = 12 + 2(smaller angle)
a = 12 + 2b --- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>
Substitute eqn 2 in eqn 1
12 + 2b + b = 90
12 + 3b = 90
3b = 90 - 12
3b = 78
<h3>b = 26</h3>
Therefore from eqn 2,
a = 12 + 2b
a = 12 + 2(26)
a = 12 + 52
<h3>a = 64</h3>
Thus the measures of two complementary angles are 64 degrees and 26 degrees
3451 now I’m just putting 20 characters to answer lol
Answer:
it depends in how many marbles there were in total add more details and then I'll give more help
Step-by-step explanation:
Answer:
height ≈ 31 ft
Step-by-step explanation:
The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue. The angle of elevation from the ground to the top of the statue is 61°. The height of the statue can be computed below.
adjacent side of the triangle = 17 ft
opposite side = a
Using SOHCAHTOA principle
tan 61° = opposite/adjacent
tan 61° = a/17
cross multiply
a = 17 tan 61°
a = 17 × 1.80404775527
a = 30.6688118396
a ≈ 31 ft
Answer:
52
Step-by-step explanation:
56+(x+72) =180
180 because it is supplementary
