Answer:
The value of ∠A is 62° ⇒ c
The value of ∠B is 54°⇒ d
Step-by-step explanation:
<em>In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.</em>
<em />
In Δ ABC
∵ The measure of the exterior angle at the vertex C = 116°
∵ The opposite interior angles to vertex C are ∠A and ∠B
∵ m∠A = (3x - 13)°
∵ m∠B = (2x + 4)°
→ By using the rule above
∴ (3x - 13) + (2x + 4) = 116
→ Add the like terms in the left side
∵ (3x + 2x) + (-13 + 4) = 116
∴ 5x + -9 = 116
∴ 5x - 9 = 116
→ Add 9 to both sides
∵ 5x - 9 + 9 = 116 + 9
∴ 5x = 125
→ Divide both sides by 5
∴ x = 25
→ To find the measures of angle A and B substitute x in their
measures by 25
∵ m∠A = 3(25) - 13 = 75 - 13
∴ m∠A = 62°
∴ The value of ∠A is 62°
∵ m∠B = 2(25) + 4 = 50 + 4
∴ m∠B = 54°
∴ The value of ∠B is 54°
1. 958-236=722
2. 878-247=631
3. 998-346= 652
4. 967-323= 644
5. 998-353= 645
6.876-322= 554
7.948-526= 422
8.968-353=615
9. 798-363= 435
10. 978-735= 243
11. 693-572= 121
12. 867-432= 435
3,153,007 rounded to the nearest 100,000 is 3,200,000.
Step-by-step explanation:
Area1=4×3=12cm²
Area2=6×3=18cm²
Area3=(6+3)×(12+4)=9×16=144cm²
Total area = area1 + area2 + area3
Total area= 12+ 18+144=174cm²
