## Task 2

## Your task is to steady the technique of solving the unknown/s stated in the questions below. Study the deduction and reasoning skills provided in the table.

**(1) Given:**

*m∠DGH = 131***Find:**

*m∠GHK***(2) Given:**

*m∠1 = m∠3***Prove:**

*m∠PTR = m∠STQ***(3) Given:**

*m∠DCJ = 71*,*m∠GFJ = 46***Prove:**

*m∠AJH = 117***(4) Given:**

*m∠1 = 4x + 9*,*m∠2 = 7(x + 4)***Find:**

*m∠3*####
**(5) **Theorem 1: Prove that the angle sum of a triangle is 180Âº.

##### Proof:

Consider any triangle*ABC*in which the angles are

*a*Âº,

*b*Âº and

*c*Âº. Draw a line through

*A*parallel to

*BC*.

#### Task 3

#### Complete the following:

#### 1. Look at this diagram, write as many pairs as you can of

(a) vertically opposite(b) corresponding

(c) alternate

(d) interior angles

2. Find the values of the pronumerals

*x*and

*y*in the following diagram.

**sources:**

**http://www.wyzant.com**

**http://www.mathsteacher.com.au/year9/ch13_geometry/05_deductive/geometry.htm**

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