Question

If the construction of a triangle abc in which ab = 6 cm, ∠a = 70° and ∠b = 40° is possible then find the measure of ∠c. (i) 40°(ii) 70°(iii) 80°

Answer 1

Answer:

70

Step-by-step explanation:

<a+<b+<c=180

70+40+<c=180

110+<c=180

<c= 70

Answer 2

Construction of ∆ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° has been done.

∠C= 70° , option (ii) is correct.

Given:

• AB = 6 cm, ∠A = 70° and ∠B = 40°

To find:

• Construction of ∆ABC,if possible
• find the measure of ∠c. (i) 40°(ii) 70°(iii) 80°

Solution:

Steps of construction to be followed:

1. Draw base line AB= 6 cm, with the help of pencil and scale.
2. With the help of protector make an angle if 70° at A.
3. With the help of protector make an angle if 40° at B.
4. Extend both lines of angles, they meet at a single point, mark that point C.
5. Construction of ∆ABC has been done.
6. To measure ∠C, put the protector on line AC or BC and measure it. Thus, ∠C= 70°.

Verification:

According to property of interior angles of triangles.

Sum of all interior angles are 180°.

Thus,

∠A+∠B +∠C= 180°

Put the values

70°+40°+∠C= 180°

or

∠C= 180°-110°

or

∠C= 70°

Thus,

Construction of ∆ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° has been done.

∠C= 70° , option (ii) is correct.

Learn more:

1) construct triangle abc in which ab= 5.8 cm,bc+ca=8.4cm amd b=60° plz send pics also

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2) construct a triangle ABC in which AC=6.2 cm

, ∠C=60° and AB-BC = 2.5 cm

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