Question

Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.

Answer 1

Angle GFJ = 56 degrees

Angle FGH = 124 degrees

Angle HFJ = 34 degrees

Angle HKJ = 101 degrees

Step-by-step explanation:

Answer 2

The measure of the angles are:

$\mathbf{GFJ = 56}$

$\mathbf{GFJ = 56}$

$\mathbf{\angle HFJ = 34}$

$\mathbf{\angle HKJ =101}$

The given parameters are:

∠GHF = 34°,

∠HJF = 124°,

∠FKJ = 79°.

(a) Angle ∠GFJ

This is calculated as:

$\mathbf{GFJ = 180 - \angle HJF}$ --- base angles of parallelogram add up to 180 degrees

So, we have:

$\mathbf{GFJ = 180 - 124}$

$\mathbf{GFJ = 56}$

(b) Angle ∠FGH

This is calculated as:

$\mathbf{\angle FGH = \angle HJF}$ --- opposite angles of parallelogram are equal

So, we have:

$\mathbf{\angle FGH = 124}$

(c) Angle ∠HFJ

This is calculated as:

$\mathbf{\angle HFJ = \angle GHF}$ --- corresponding angles

So, we have:

$\mathbf{\angle HFJ = 34}$

(d) Angle ∠HKJ

This is calculated as:

$\mathbf{\angle HKJ =180 - \angle FKJ}$ ---- supplementary angles

So, we have:

$\mathbf{\angle HKJ =180 - 79}$

$\mathbf{\angle HKJ =101}$

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