7.1 Find with reasons, the value of a, b and c in alphabetical order $C$ $105^ $ $A$----$B$ $a$ $b$ $C$----$D$ 7.2 Find with reason(s), the value of x. $A$----$B$ $4x$ $x+30^ $ $C$----$D$ 7.3 Find with reasons, the value of x and y. $A$----$C$----$D$ $3x$ $6x$ $B$See answer

Daftar Isi

71 Find with reasons the value of a b and c in alphabetical order C 105 A B a b C D 72 Find with reason s the value of x A B 4x x 30 C D 73 Find with reasons the value of x and y A C D 3x 6x B…

Question

7.1 Find with reasons, the value of a, b and c in alphabetical order $C$ $105^\circ$ $A$—-$B$ $a$ $b$ $C$—-$D$ 7.2 Find with reason(s), the value of x. $A$—-$B$ $4x$ $x+30^\circ$ $C$—-$D$ 7.3 Find with reasons, the value of x and y. $A$—-$C$—-$D$ $3x$ $6x$ $B$

Basic Answer

7.1 Find with reasons, the value of a, b, and c in alphabetical order

Step 1: Identify the angles in the triangle

Given:

• Angle $C=105^{\circ }$
• Angle $A$ and $B$ are unknown

Step 2: Use the sum of angles in a triangle

The sum of angles in a triangle is $180^{\circ }$.
$$A+B+C=180^{\circ }$$
$$A+B+105^{\circ }=180^{\circ }$$
$$A+B=75^{\circ }$$

Step 3: Determine the values of a, b, and c

Since $A$ and $B$ are unknown, we need more information to determine their exact values. However, the sum $A+B=75^{\circ }$ is consistent with the given angle $C=105^{\circ }$.

Final Answer

$$A+B=75^{\circ }$$

7.2 Find with reason(s), the value of x.

Step 1: Identify the angles in the triangle

Given:

• Angle $A=4x$
• Angle $B=x+30^{\circ }$

Step 2: Use the sum of angles in a triangle

The sum of angles in a triangle is $180^{\circ }$.
$$A+B+C=180^{\circ }$$
$$4x+(x+30^{\circ })+C=180^{\circ }$$
$$5x+30^{\circ }+C=180^{\circ }$$
$$5x+C=150^{\circ }$$

Step 3: Solve for x

Since $C$ is an unknown angle, we need more information to determine its exact value. However, we can solve for $x$ if we assume $C$ is a known angle.

Final Answer

$$5x+C=150^{\circ }$$

7.3 Find with reasons, the value of x and y.

Step 1: Identify the angles in the triangle

Given:

• Angle $A=3x$
• Angle $B=6x$

Step 2: Use the sum of angles in a triangle

The sum of angles in a triangle is $180^{\circ }$.
$$A+B+C=180^{\circ }$$
$$3x+6x+C=180^{\circ }$$
$$9x+C=180^{\circ }$$

Step 3: Solve for x

Since $C$ is an unknown angle, we need more information to determine its exact value. However, we can solve for $x$ if we assume $C$ is a known angle.

Final Answer

$$9x+C=180^{\circ }$$

Summary

For each problem, additional information is needed to determine the exact values of the unknown angles. The provided equations are consistent with the sum of angles in a triangle.