Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
Answer:
2336
Step-by-step explanation:
Answer:
x = 30
y = 2
Step-by-step explanation:
Please note: the value for x is correct only if this triangle is a right triangle.
This can be solved because 2(5y) = 20 and because if a triangle has all congruent angles then its side lengths are also congruent.
1 yard = 36 inches
3 * 36 = 108
1 foot = 12 inches
108 + 12 = 120
So 3 yards and 1 foot is equal to 120 inches.
120 is greater than 100 so 3 yards and 1 foot is greater than 100 inches.
