Answer:
Step-by-step explanation:
Answer:
∠LNM = 38°
∠M = 52°
Step-by-step explanation:
Here, ∠M = x
Let the measure of ∠LNM = ∠1
Now, ∠PNM + ∠1 = 180° (LINEAR PAIRS)
So, ∠1 = 180° - ∠PNM = 180° - 142°
= 38°
⇒∠1 = 38° , or ∠LNM = 38°
Now, in triangle LMN, by ANGLE SUM PROPERTY of a triangle
∠NLM + ∠X + ∠1 = 180°
or, 90° + x + 38° = 180°
⇒ x = 180° - 128° = 52°
Hence, the measure of x = 52° , or ∠M = 52°
Answer:
x = 34
Step-by-step explanation:
The sum of the three angles is 180 since they make a straight line
x+12 + 100 +x = 180
Combine like terms
2x+112=180
Subtract 112 from each side
2x+112-112= 180-112
2x = 68
Divide by 2
2x/2 =68/2
x = 34
Answer:
large triangle:
base = 6.64 cm
hypotenuse = 8.31 cm
small triangle:
base = 4 cm
Step-by-step explanation:
large triangle:
tan 37 = 5/base
0.7536 = 5/base
base = 6.64 cm
using the Pythagorean theorem:
hypotenuse² = 5² + 6.64²
hypotenuse² = 25 = 44.02 = 69.02
hypotenuse = 8.31 cm
small triangle:
using the Pythagorean theorem:
base² = 5² - 3²
base² = 25 - 9 = 16
base = 4 cm
Answer:
can you check if you wrote this correctly
