50
yes they are
Assuming the configuration is as follows. With the triangle inside the square D B A E C Angle CBD = 90 & Angle ABC = 60, therefore angle ABD = 30 (90-60) We also know that angle DBE = 45 (half square) So DBE-ABD=ABE which is 45 - 30 = 15 Its a bit confusing without proper diagrams but it works.
The answer will depend on what x is!
Here is the problem with this question. If AC is perpendicular to CB, then they must share a common endpoint, namely C. And we know that angle ACB must be a right angle. Now in order to make CBD 125 degrees, we need to draw it so it is greater than a right angle. So draw the line AC and at the point C, drop a perpendicular downwards and this is CB. Now D must be to the left and below B in order for the angle to be 125. Here is the catch.. We were never given any info about angle A, we only have point A. So one assumption would be to connect D and A and make segment AD. Then we have a quadralateral with two angle know, namely 125 and which is CBD and 90 which is ACB. The sum of the angles is 360 so the other two must be 360-(125+90)=145. This would be the sum of angles CAD and BDA. The length of segment BD would determine angle CAD and we do not know that So we don't have enough information. then the measurement of angle A equals:
Triangles BDC, CBD, CDB, DBC and DCB.
yes they are
Assuming the configuration is as follows. With the triangle inside the square D B A E C Angle CBD = 90 & Angle ABC = 60, therefore angle ABD = 30 (90-60) We also know that angle DBE = 45 (half square) So DBE-ABD=ABE which is 45 - 30 = 15 Its a bit confusing without proper diagrams but it works.
The problem is meaningless without a diagram but I am guessing that ABC make a triangle and D is on the extension of AB beyond B. In that case we use the exterior angle theorem to get CBD = C + A, so 125 = 90 + A and A = 35.
The proof is fairly long but relatively straightforward. You may find it easier to follow if you have a diagram: unfortunately, the support for graphics on this browser are hopelessly inadequate.Suppose you have a rhombus ABCD so that AB = BC = CD = DA. Also AB DC and AD BC.Suppose the diagonals of the rhombus meet at P.Now AB DC and BD is an intercept. Then angle ABD = angle BDC.Also, in triangle ABD, AB = AD. therefore angle ABD = angle ADC.while in triangle BCD, BC = CD so that angle DBC = angle BDC.Similarly, it can be shown that angle BAC = angle CAD = angle DCA = angle ACB.Now consider triangles ABP and CBP. angle ABP (ABD) = angle CBP ( CBD or DBC),sides AB = BCand angle BAP (BAC) = angle BCP (BCA = ACB).Therefore, by SAS, the two triangles are congruent.In the same way, triangles BCP and CPD can be shown to congruent as can triangles CPD and DPA. That is, all four triangles are congruent.
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.
The problem is meaningless without a diagram but I am guessing that ABC make a triangle and D is on the extension of AB beyond B. In that case we use the exterior angle theorem to get CBD = C + A, so 125 = 90 + A and A = 35.
The answer will depend on what x is!
Take a rhombus ABCD. A rhombus as 4 equal sides, thus AB = BC = CD = DA Draw in 1 diagonal AC. This splits the rhombus into 2 triangles. ABC and CDA with side AB = CD, BC = DA and AC common to both triangles. Thus ABC and CDA are congruent by Side-Side-Side. Triangles ABC and CDA are isosceles triangles since they have two equal sides (AB = BC and CD = DA) thus angles DAC = DCA = BAC = BCA. Specifically DAC = BAC. But DAC + BAC = DAB, thus DAC = BAC = ½ DAB; similarly DCA = BCA = ½ BCD = ½ DAB Drawing in the other diagonal BD, the same arguments show triangles ABD and CDB are congruent and angles ADB = CDB = ABD = CBD = ½ ABC Let the point where the diagonals meet be E. We now have 4 triangles ABE, BCE, CDE and DAE with equivalent angles and sides: Angles DAE* = BAE = BCE = DCE (= ½ DAB) Angles ABE = CBE = CDE = ADE (= ½ ABD) Sides AB = BC = CD = DA Thus the 4 triangles are congruent by Angle-Angle-Side. *Angle DAE = DAC since E lines along AC; similarly for all the other angles involving point E, ie angle BCE = BCA, ADB = ADE, etc
95 degrees (hint: construct the circumcircle of BCD
From Melbourne CBD to Frankston is 53km.
CBD-FM was created on 1964-10-15.
About 1 hour from cbd to cbd.